Question

What fraction is equal to 0.40

Answer 1

To find which fraction is equal to 0.40, we first need to convert it into a fraction not in simplest form. Since the decimal 0.40 is equal to 0.4 (you can add any zero to the right of a decimal without changing the value), we can now convert 0.4 into a fraction. Since 0.4 has 4 in the tenths place, 0.4 = 4/10. Now we can simplify. To simplify, we need to find the GCF of the numerator and the denominator. The GCF of 4 and 10 is 2. Now we can remove 2 from both the numerator and denominator. The fraction then becomes:

(4/2)/(10/2)

Which simplifies to our answer of:

2/5

Answer 2

Hey!

There are many fractions equal to 0.40

In 0.4, the 4 is in the tenths place. That means:

`0.4 = (4)/(10)`

The GCF of 4 and 10 is 2. Divide both by 2

`(4 / 2)/(10 / 2) = (2)/(5)`

Two fractions equivalent to 0.4 are:
`(4)/(10)` and
`(2)/(5)`

Hope this helps! :)