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# Ratio

Ratio is generally used to measure the relation between two Numbers. It is basically comparison of two numbers or quantities. If we have two numbers ‘A’ and ‘B’ then the ratio between ‘A’ and ‘B’ is

A: B or A / B,

Here we can easily see that ‘A/B’ is in rational form.  Now we take a phrase and according to that we have to write the ratio between two quantities. There are 15 hens and 9 ducks in a park. Now express the ratio between hens and ducks. If we represent hens with ‘A’ and ducks with ‘B’ than according to ratio property

A / B = 15 / 9 = 5 / 3,

So the ratio is 5: 3. To understand that ratio topic more deeply we take an example where we have to find the ratio. If we have the value of B = 6 and the ratio A: B = 5: 2 then find the value of ‘A’.

Here we can easily see that the ratio A: B =5: 2 and we can also express that

A / B = 5 / 2,

Now we can put the value of B in the above equation

A / 6 = 5 / 2,

After cross multiplication

A * 2 = 5 * 6,

A = (5 * 6) / 2 = 30 / 2 = 15,

Let’s take an example where we have to find ratios of two numbers.  We have the value of A = 4 and the ratio A: B = 2: 5. Now we have to find the value of ‘B’. Here we can easily see that ratio of ‘A’ and ‘B’ is

A: B = 2: 5,

A / B = 2 / 5,

4 / B = 2 / 5,

B = (5 * 4) / 2 = 10.