##
**Comparing Fractions**

**Comparison of Like Fractions **

To compare like fractions, numerators of the fractions
are compared. The fraction having greater numerator is the greater fraction.

**Example:**Compare 3/5 and 1/5 .

**Solution:**3/5 and 1/5 are like fractions, that is, both have the same denominator.

So, compare the numerators. On comparison, we find that 3 > 1.

Hence, 3/5
> 1/5.

###
**Comparison
of Unlike Fractions**

Two cases arise while
comparing unlike fractions.

**Case 1:**Fractions with the same numerator.

**Example:**Arrange 7/12, 7/23, 7/17, 7/11 in descending order.

**Solution:**In this case, the fraction with the larger denominator is smaller.

Hence, in the above fractions, 7/23 is the smallest.

Next, 7/17, then 7/12 and 7/11 is the largest.

Therefore, 7/11 > 7/12 > 7/17 > 7/23.

**Case 2:**Fractions with different numerators.

Convert these type of
unlike fractions into like fractions by making the denominator same.

**Example:**Compare 1/4 and 3/8.

**Solution:**Convert 1/4 to a like fraction as given below.

1/4 = (1 ×
2)/(4 × 2) = 2/8 [Multiplying
numerator and denominator by the same number]

Now, the
given fractions 2/8 and 3/8 are like fractions.

On comparing
the numerators, we get 3 > 2.

Therefore,
3/8 > 2/8 or 3/8 > 1/4.

###
**Comparison
of Mixed Fractions**

To compare mixed fractions, we first convert the fractions into improper fractions and then compare as unlike fractions.

##
**Ordering Fractions**

**Arranging Fractions in Ascending and Descending Order**

Writing fractions from the smallest to the largest is called

**ascending order**of fractions and writing fractions from the largest to the smallest is called**descending order**of fractions.