**Comparing Ratios – **To Compare two Ratios, we should follow the following steps : –

- Write both the Ratios as Fractions
- Convert both the Fractions into Like Fraction:-

– Find the L.C.M of denominator of both the Fractions

– Make the denominator of each fraction equal to their L.C.M. - In case of Like fractions, the number whose numerator is greater is larger.

**Comparing Ratios – Example 1**

Compare the ratios ( 3 : 5 ) and ( 4 : 7 )

**Explanation**

We can write

( 3 : 5 ) = and ( 4 : 7 ) =

Now, let us compare and

LCM of 5 and 7 is 35

Making the denominator of each fraction equal to 35

We have, = =

and = =

In case of Like fractions, the number whose numerator is greater is larger. Hence we can say >

That is >

Hence, ( 3 : 5 ) > ( 4 : 7 )

**Comparing Ratios – Example 2**

Compare the ratios ( 1 : 5 ) and ( 2 : 7 )

**Explanation**

We can write

( 1 : 5 ) = and ( 2 : 7 ) =

Now, let us compare and

LCM of 5 and 7 is 35

Making the denominator of each fraction equal to 35

We have, = =

and = =

In case of Like fractions, the number whose numerator is greater is larger. Hence we can say <

That is <

Hence, ( 1 : 5 ) < ( 2 : 7 )

**Comparing Ratios – Example 3**

Compare the ratios ( 7 : 4 ) and ( 6 : 8 )

**Explanation**

We can write

( 7 : 4 ) = and ( 6 : 8 ) =

Now, let us compare and

LCM of 4 and 8 is 8

Making the denominator of each fraction equal to 8

We have, = =

and = =

In case of Like fractions, the number whose numerator is greater is larger. Hence we can say >

That is >

Hence, ( 7 : 4 ) > ( 6 : 8 )

**Comparing Ratios – Example 4**

Compare the ratios ( 3 : 4 ) and ( 2 : 3 )

**Explanation**

We can write

( 3 : 4 ) = and ( 2 : 3 ) =

Now, let us compare and

LCM of 4 and 3 is 12

Making the denominator of each fraction equal to 12

We have, = =

and = =

In case of Like fractions, the number whose numerator is greater is larger. Hence we can say >

That is >

Hence, ( 3 : 4 ) > ( 2 : 3 )

**Comparing Ratios – Example 5**

Compare the ratios ( 1 : 5 ) and ( 1 : 4 )

**Explanation**

We can write

( 1 : 5 ) = and ( 1 : 4 ) =

Now, let us compare and

LCM of 5 and 4 is 20

Making the denominator of each fraction equal to 20

We have, = =

and = =

In case of Like fractions, the number whose numerator is greater is larger. Hence we can say <

That is <

Hence, ( 1 : 5 ) < ( 1 : 4 )

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