# 4th Class Mathematics Fractions and Decimals Comparison of Fraction

## Comparison of Fraction

Category : 4th Class

### Comparison of Fraction

Comparison of Like Fractions

Let$\frac{p}{q}$and$\frac{r}{q}$are like fractions.

If p is greater than $q,\frac{p}{q}>\frac{r}{q}$

Compare between$\frac{\mathbf{7}}{\mathbf{9}}$and$\frac{5}{\mathbf{9}}$.Which is greater?

Solution:

$7>5$ $\frac{7}{9}>\frac{5}{9}$

Comparison of Fractions Having Same Numerator

If the two fractions have same numerator, the fraction which has smaller denominator is greater. Like$\frac{P}{Q}$is greater than$\frac{P}{R}$if$\text{Q}<\text{R}$.

Find the greatest fraction out of the given fractions:

$\frac{18}{23},\frac{18}{17},\frac{18}{19},\frac{18}{20},\frac{18}{12}$

Solution:

$\frac{18}{12}$is the greatest fraction among the given fractions. As it has smallest denominator.

Comparison of Unlike Fractions

Compare between$\frac{7}{13}$and$\frac{6}{9}$

Step 1:  Convert the fractions into like fractions.

$\frac{7\times 9}{13\times 9}=\frac{63}{117}$

And$\frac{6\times 13}{9\times 13}=\frac{78}{117}$

Step 2: The fraction having greater numerator is greater.

$\because$$78>63$

$\therefore$$\frac{78}{117}>\frac{63}{117}$or$\frac{6}{9}>\frac{7}{13}$

Compare between$\frac{21}{22}$and$\frac{22}{23}$, which is greater?

Solution: $\frac{21}{22}=\frac{21\times 23}{22\times 23}=\frac{483}{506}$

$\frac{22}{23}=\frac{22\times 22}{23\times 22}=\frac{484}{506}$

$\because$$484>483$

$\therefore$$\frac{484}{506}>\frac{483}{506}$or$\frac{22}{23}>\frac{21}{22}$

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