Simplify 1/4 : 2/5

Answer 1

To simplify this expression, you need to perform the division of fractions operation, which involves multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is found by flipping it upside down.

So, 1/4 divided by 2/5 can be written as:

(1/4) ÷ (2/5) = (1/4) x (5/2)

Now, you have a multiplication of fractions. To simplify, you can cancel out a common factor of 2.

(1/4) x (5/2) = (1/2) x (1/4) = 1/8

Therefore, 1/4 divided by 2/5 simplified to 1/8.

Answer 2

or

in a more simple form and obtaining the right answer :

1/4 : 2/5
= 5 : 8 , after multiplying each term of the ratio by 20