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Name
Grade
School

Date
Questions20
Score

1

Compare 44:57 and 17:77

2

Compare 34:63 and 15:17

3

Compare 25:91 and 49:62

4

Compare 23:30 and 41:59

5

Compare 36:73 and 45:58

6

Compare 19:29 and 43:99

7

Compare 18:91 and 21:73

8

Compare 23:79 and 1:4

9

Compare 26:41 and 13:83

10

Compare 29:54 and 31:48

11

Compare 1:2 and 17:42

12

Compare 25:33 and 7:11

13

Compare 30:97 and 21:43

14

Compare 39:71 and 7:74

15

Compare 22:25 and 55:84

16

Compare 5:6 and 5:9

17

Compare 10:49 and 3:76

18

Compare 11:15 and 7:38

19

Compare 9:22 and 11:53

20

Compare 1:25 and 19:67

Answers Key

Show All Workout

1

Compare 44:57 and 17:77

44 : 57 is greater than 17 : 77

step 1

Write the ratio in fraction format

44:57 =

4457

17:77 =

1777

step 2

Being unlike denominators, find the LCM for the denominators 57 & 77

LCM(57, 77) = 4389

LCM(57, 77) = 4389

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

4457

=

4457

x

43894389

=

33884389

1777

=

1777

x

43894389

=

9694389

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

33884389

is greater than

9694389

4457

is greater than

1777

step 5

Write the statementHence 44 : 57 is greater than 17 : 77

4457

is greater than

1777

2

Compare 34:63 and 15:17

34 : 63 is smaller than 15 : 17

step 1

Write the ratio in fraction format

34:63 =

3463

15:17 =

1517

step 2

Being unlike denominators, find the LCM for the denominators 63 & 17

LCM(63, 17) = 1071

LCM(63, 17) = 1071

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

3463

=

3463

x

10711071

=

5781071

1517

=

1517

x

10711071

=

9451071

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

5781071

is smaller than

9451071

3463

is smaller than

1517

step 5

Write the statementHence 34 : 63 is smaller than 15 : 17

3463

is smaller than

1517

3

Compare 25:91 and 49:62

25 : 91 is smaller than 49 : 62

step 1

Write the ratio in fraction format

25:91 =

2591

49:62 =

4962

step 2

Being unlike denominators, find the LCM for the denominators 91 & 62

LCM(91, 62) = 5642

LCM(91, 62) = 5642

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

2591

=

2591

x

56425642

=

15505642

4962

=

4962

x

56425642

=

44595642

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

15505642

is smaller than

44595642

2591

is smaller than

4962

step 5

Write the statementHence 25 : 91 is smaller than 49 : 62

2591

is smaller than

4962

4

Compare 23:30 and 41:59

23 : 30 is greater than 41 : 59

step 1

Write the ratio in fraction format

23:30 =

2330

41:59 =

4159

step 2

Being unlike denominators, find the LCM for the denominators 30 & 59

LCM(30, 59) = 1770

LCM(30, 59) = 1770

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

2330

=

2330

x

17701770

=

13571770

4159

=

4159

x

17701770

=

12301770

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

13571770

is greater than

12301770

2330

is greater than

4159

step 5

Write the statementHence 23 : 30 is greater than 41 : 59

2330

is greater than

4159

5

Compare 36:73 and 45:58

36 : 73 is smaller than 45 : 58

step 1

Write the ratio in fraction format

36:73 =

3673

45:58 =

4558

step 2

Being unlike denominators, find the LCM for the denominators 73 & 58

LCM(73, 58) = 4234

LCM(73, 58) = 4234

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

3673

=

3673

x

42344234

=

20884234

4558

=

4558

x

42344234

=

32854234

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

20884234

is smaller than

32854234

3673

is smaller than

4558

step 5

Write the statementHence 36 : 73 is smaller than 45 : 58

3673

is smaller than

4558

6

Compare 19:29 and 43:99

19 : 29 is greater than 43 : 99

step 1

Write the ratio in fraction format

19:29 =

1929

43:99 =

4399

step 2

Being unlike denominators, find the LCM for the denominators 29 & 99

LCM(29, 99) = 2871

LCM(29, 99) = 2871

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

1929

=

1929

x

28712871

=

18812871

4399

=

4399

x

28712871

=

12472871

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

18812871

is greater than

12472871

1929

is greater than

4399

step 5

Write the statementHence 19 : 29 is greater than 43 : 99

1929

is greater than

4399

7

Compare 18:91 and 21:73

18 : 91 is smaller than 21 : 73

step 1

Write the ratio in fraction format

18:91 =

1891

21:73 =

2173

step 2

Being unlike denominators, find the LCM for the denominators 91 & 73

LCM(91, 73) = 6643

LCM(91, 73) = 6643

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

1891

=

1891

x

66436643

=

13146643

2173

=

2173

x

66436643

=

19116643

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

13146643

is smaller than

19116643

1891

is smaller than

2173

step 5

Write the statementHence 18 : 91 is smaller than 21 : 73

1891

is smaller than

2173

8

Compare 23:79 and 1:4

23 : 79 is greater than 1 : 4

step 1

Write the ratio in fraction format

23:79 =

2379

1:4 =

14

step 2

Being unlike denominators, find the LCM for the denominators 79 & 4

LCM(79, 4) = 316

LCM(79, 4) = 316

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

2379

=

2379

x

316316

=

92316

14

=

14

x

316316

=

79316

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

92316

is greater than

79316

2379

is greater than

14

step 5

Write the statementHence 23 : 79 is greater than 1 : 4

2379

is greater than

14

9

Compare 26:41 and 13:83

26 : 41 is greater than 13 : 83

step 1

Write the ratio in fraction format

26:41 =

2641

13:83 =

1383

step 2

Being unlike denominators, find the LCM for the denominators 41 & 83

LCM(41, 83) = 3403

LCM(41, 83) = 3403

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

2641

=

2641

x

34033403

=

21583403

1383

=

1383

x

34033403

=

5333403

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

21583403

is greater than

5333403

2641

is greater than

1383

step 5

Write the statementHence 26 : 41 is greater than 13 : 83

2641

is greater than

1383

10

Compare 29:54 and 31:48

29 : 54 is smaller than 31 : 48

step 1

Write the ratio in fraction format

29:54 =

2954

31:48 =

3148

step 2

Being unlike denominators, find the LCM for the denominators 54 & 48

LCM(54, 48) = 432

LCM(54, 48) = 432

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

2954

=

2954

x

432432

=

232432

3148

=

3148

x

432432

=

279432

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

232432

is smaller than

279432

2954

is smaller than

3148

step 5

Write the statementHence 29 : 54 is smaller than 31 : 48

2954

is smaller than

3148

11

Compare 1:2 and 17:42

1 : 2 is greater than 17 : 42

step 1

Write the ratio in fraction format

1:2 =

12

17:42 =

1742

step 2

Being unlike denominators, find the LCM for the denominators 2 & 42

LCM(2, 42) = 42

LCM(2, 42) = 42

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

12

=

12

x

4242

=

2142

1742

=

1742

x

4242

=

1742

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

2142

is greater than

1742

12

is greater than

1742

step 5

Write the statementHence 1 : 2 is greater than 17 : 42

12

is greater than

1742

12

Compare 25:33 and 7:11

25 : 33 is greater than 7 : 11

step 1

Write the ratio in fraction format

25:33 =

2533

7:11 =

711

step 2

Being unlike denominators, find the LCM for the denominators 33 & 11

LCM(33, 11) = 33

LCM(33, 11) = 33

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

2533

=

2533

x

3333

=

2533

711

=

711

x

3333

=

2133

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

2533

is greater than

2133

2533

is greater than

711

step 5

Write the statementHence 25 : 33 is greater than 7 : 11

2533

is greater than

711

13

Compare 30:97 and 21:43

30 : 97 is smaller than 21 : 43

step 1

Write the ratio in fraction format

30:97 =

3097

21:43 =

2143

step 2

Being unlike denominators, find the LCM for the denominators 97 & 43

LCM(97, 43) = 4171

LCM(97, 43) = 4171

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

3097

=

3097

x

41714171

=

12904171

2143

=

2143

x

41714171

=

20374171

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

12904171

is smaller than

20374171

3097

is smaller than

2143

step 5

Write the statementHence 30 : 97 is smaller than 21 : 43

3097

is smaller than

2143

14

Compare 39:71 and 7:74

39 : 71 is greater than 7 : 74

step 1

Write the ratio in fraction format

39:71 =

3971

7:74 =

774

step 2

Being unlike denominators, find the LCM for the denominators 71 & 74

LCM(71, 74) = 5254

LCM(71, 74) = 5254

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

3971

=

3971

x

52545254

=

28865254

774

=

774

x

52545254

=

4975254

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

28865254

is greater than

4975254

3971

is greater than

774

step 5

Write the statementHence 39 : 71 is greater than 7 : 74

3971

is greater than

774

15

Compare 22:25 and 55:84

22 : 25 is greater than 55 : 84

step 1

Write the ratio in fraction format

22:25 =

2225

55:84 =

5584

step 2

Being unlike denominators, find the LCM for the denominators 25 & 84

LCM(25, 84) = 2100

LCM(25, 84) = 2100

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

2225

=

2225

x

21002100

=

18482100

5584

=

5584

x

21002100

=

13752100

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

18482100

is greater than

13752100

2225

is greater than

5584

step 5

Write the statementHence 22 : 25 is greater than 55 : 84

2225

is greater than

5584

16

Compare 5:6 and 5:9

5 : 6 is greater than 5 : 9

step 1

Write the ratio in fraction format

5:6 =

56

5:9 =

59

step 2

Being unlike denominators, find the LCM for the denominators 6 & 9

LCM(6, 9) = 18

LCM(6, 9) = 18

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

56

=

56

x

1818

=

1518

59

=

59

x

1818

=

1018

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

1518

is greater than

1018

56

is greater than

59

step 5

Write the statementHence 5 : 6 is greater than 5 : 9

56

is greater than

59

17

Compare 10:49 and 3:76

10 : 49 is greater than 3 : 76

step 1

Write the ratio in fraction format

10:49 =

1049

3:76 =

376

step 2

Being unlike denominators, find the LCM for the denominators 49 & 76

LCM(49, 76) = 3724

LCM(49, 76) = 3724

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

1049

=

1049

x

37243724

=

7603724

376

=

376

x

37243724

=

1473724

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

7603724

is greater than

1473724

1049

is greater than

376

step 5

Write the statementHence 10 : 49 is greater than 3 : 76

1049

is greater than

376

18

Compare 11:15 and 7:38

11 : 15 is greater than 7 : 38

step 1

Write the ratio in fraction format

11:15 =

1115

7:38 =

738

step 2

Being unlike denominators, find the LCM for the denominators 15 & 38

LCM(15, 38) = 570

LCM(15, 38) = 570

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

1115

=

1115

x

570570

=

418570

738

=

738

x

570570

=

105570

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

418570

is greater than

105570

1115

is greater than

738

step 5

Write the statementHence 11 : 15 is greater than 7 : 38

1115

is greater than

738

19

Compare 9:22 and 11:53

9 : 22 is greater than 11 : 53

step 1

Write the ratio in fraction format

9:22 =

922

11:53 =

1153

step 2

Being unlike denominators, find the LCM for the denominators 22 & 53

LCM(22, 53) = 1166

LCM(22, 53) = 1166

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

922

=

922

x

11661166

=

4771166

1153

=

1153

x

11661166

=

2421166

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

4771166

is greater than

2421166

922

is greater than

1153

step 5

Write the statementHence 9 : 22 is greater than 11 : 53

922

is greater than

1153

20

Compare 1:25 and 19:67

1 : 25 is smaller than 19 : 67

step 1

Write the ratio in fraction format

1:25 =

125

19:67 =

1967

step 2

Being unlike denominators, find the LCM for the denominators 25 & 67

LCM(25, 67) = 1675

LCM(25, 67) = 1675

step 3

Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other

125

=

125

x

16751675

=

671675

1967

=

1967

x

16751675

=

4751675

step 4

Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction

671675

is smaller than

4751675

125

is smaller than

1967

step 5

Write the statementHence 1 : 25 is smaller than 19 : 67

125

is smaller than

1967

Comparing (greater or smaller) two ratios worksheets with answers for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 ratio & proportion worksheet to practice how to reduce the ratios to its lowest form.

In this sixth grade ratio & proportion worksheet, students are required to compare the two given ratios to write which is bigger or smaller. Being multiple ratios, write the two ratios in fraction form, find LCM to make all the denominators are equal to each other, rewrite the fractions in corresponding ratios and compare the ANTECEDENTS of two ratios. The ratio having highest antecedent is the biggest ratio. Similarly, the ratio with smallest antecedent is the smallest ratio.

Teachers, tutors, parents or students can check or validate the solved questions of comparing two ratios by using the corresponding answers key which comprises the step by step work on how to find biggest or smallest ratio, for each problem of this worksheet.

Students, teachers, tutors or parents can generate unlimited set of questions and answers by using this "**NEW WORKSHEET**" button to prepare exam, assignments, classwork or homework problems, or step by step work on comparing to ratios to find which is bigger or smaller.

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