**Comparing fractions :**

In the topic comparing fractions, we are going to see how to compare fractions.

Let us see the steps involved in this topic.

Whenever we want to compare two or more fractions, first we have to check the denominators.

**Case 1 :**

If the denominators are same then we can decide that the fraction which is having the greater numerator is greater.

**Case 2 :**

**If the denominators are different then 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.**

**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 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 3 :**

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 4 :**

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 5 :**

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

**Solution :**

By comparing the numerators 37 is greater than 33.

Hence , 37/134 is greater than 33/134

**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 then 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".

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