Question

Convert 0.12 as a fraction in lowest terms

Answer 1

`\sf (3)/(25)`

Explanation:

Convert decimal to fraction:

First count the number of decimal places.

If there is 1 digit after the decimal point, divide by 10.

If there are 2 digits after the decimal point, divide by 100.

If there are 3 digits after the decimal point, divide by 1000 and so on.

• Here, there are 2 digits after the decimal point, divide by 100.

`\sf 0.12 =(12)/(100)`

• Now, find the HCF of the numerator and denominator.

12 = 2 * 2 * 3

100 = 2 * 2 * 5 * 5

HCF = 2*2 = 4

• Now, divide the numerator and denominator by the HCF.

`\sf (12)/(100)=(12 \ / \ 4)/(100 \ / 4)`

`\sf = (3)/(25)`

Answer 2

`(3)/(25)`

Explanation:

given the decimal

0.12 ← with the 2 in the hundredths position , then

=
`(12)/(100)` ( divide 12 and 100 by 4 , the lowest common multiple )

=
`(3)/(25)`