Question

Convert the ratio 40:100 in its simplest form.

Fill in the blank: The simplest form of the ratio 40:100 is ___.

Answer 1

• 2 : 5

Explanation:

To convert the ratio 40:100 in its simplest form., first we can convert it into fraction form.

In fraction form,

`40 \ratio 100 = (40)/(100)`

The common factors are 40 and 100 are 1,2,4,5, 10 and 20 and the greatest comman factor is 20. So we can divide both the numerator and denominator by 20

The required fraction will be

`(40)/(100) = (2)/(5)`

Now, converting the fraction back into ratio form.

`(2)/(5) = 2 \ratio5`

Therefore, the ratio of 40:100 in its simplest form is 2 : 5.