# COMPARING FRACTIONS WORKSHEET

Comparing fractions worksheet :

Worksheet on comparing fractions is much useful to the students who would like to practice problems on comparing fractions.

## Comparing fractions worksheet

1.  Find which fraction is greater 6/19, 16/19

2.  Find which is greater fraction 2/12, 7/12

3.  Find which is greater fraction 13/34, 31/34

4.  Find which is greater fraction 37/134, 33/134

5.  Find which fraction is greater 1/2, 3/5

6.  Find which is greater fraction 2/10, 7/12

7.  Order the fraction from least to greatest 3/4, 2/5, 1/8

8.  Order the fraction from greatest to least 5/6, 3/8, 1/4

## Comparing fractions worksheet - Solution

Question 1 :

Find which fraction is greater 6/19, 16/19

Solution :

Since the denominators of those fractions are same, we can compare the numerators and decide which fraction is greater.

Hence, 16/19 is greater than 6/19

Question 2 :

Find which is greater fraction 2/12, 7/12

Solution :

Since the denominators of those fractions are same, we can compare the numerators and decide which fraction is greater.

By comparing the numerators, 7 is greater than 2.

Hence , 7/12 is greater than 2/12.

Question 3 :

Find which is greater fraction 13/34, 31/34

Solution :

Since the denominators of those fractions are same, we can compare the numerators and decide which fraction is greater.

By comparing the numerators 31 is greater than 13.

Hence , 31/34 is greater than 13/34.

Question 4 :

Find which is greater fraction 37/134, 33/134

Solution :

Since the denominators of those fractions are same, we can compare the numerators and decide which fraction is greater.

By comparing the numerators 37 is greater than 33.

Hence , 37/134 is greater than 33/134

Question 5 :

Find which fraction is greater 1/2, 3/5

Solution :

Since the denominators are different, we have to convert each fraction into equivalent fraction with the common denominator.

To make the denominator same we have to apply the concept LCM.

Now we can compare the numerators and decide which fraction is greater.

By comparing the numerators, 6 is greater than 5. So 6/10 is greater than 5/10

Hence , 3/5 is greater than 1/2

Question 6 :

Find which is greater fraction 2/10, 7/12

Solution :

Since the denominators are different, we have to convert each fraction into equivalent fraction with the common denominator.

To make the denominator same we have to apply the concept LCM.

=  (2/10) x (6/6)  = 12/60

=  (7/12) x ( 5/5)  = 35/60

Now we can compare the numerators and decide which fraction is greater.

By comparing the numerators 35 is greater than 12. So 35/60 is greater than 12/60

Hence , 7/12 is greater than 2/10

Question 7 :

Order the fraction from least to greatest 3/4 , 2/5 ,1/8

Solution :

Since the denominators are different, we have to Convert these fractions to equivalent fractions with a common denominator in order to compare them

LCM of (4,5 and 8) = 40

Now we have to make each fraction with the common denominator 40.

Multiply both numerator and denominator of the first fraction by 10

Multiply both numerator and denominator of the second fraction by 8

Multiply both numerator and denominator of the third fraction by 5

Now we can compare the fraction and order the fraction from least to greatest

So the answer is (1/8) < (2/5) < (3/4)

Question 8 :

Order the fraction from greatest to least 5/6,3/8,1/4

Solution :

Since the denominators are different, we have to Convert these fractions to equivalent fractions with a common denominator in order to compare them

LCM of (6, 8 and 4) = 24

Now we have to make each fraction with the common denominator 24.

Multiply both numerator and denominator of the first fraction by 4

Multiply both numerator and denominator of the second fraction by 3

Multiply both numerator and denominator of the third fraction by 6

So the answer is (5/6) > (3/8) > (1/4)

After having gone through the stuff given above, we hope that the students would have understood "Comparing fractions worksheet".

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6