Question

Lliana was part of a group that was working on changing 0.4 to fraction. Each member o the group had a different answer. Which answer is correct?

A) 2/5
B) 4/10

Answer 1

Both are correct.

A) A decimal fraction

B) A common fraction

Explanation:

1 step. Write down 0.4 divided by 1:

`(0.4)/(1).`

2 step. Multiply both top and bottom by 10 (because there are 1 digit after the decimal point):

`(0.4)/(1)=(0.4\cdot 10)/(1\cdot 10)=(4)/(10).`

This fraction is called a decimal fraction.

3 step. Simplify the decimal fraction:

`(4)/(10)=(2\cdot 2)/(2\cdot 5)=(2)/(5).`

This fraction is called a common fraction.