# 4/45 as a Decimal 4/45 as a decimal expansion provides the detailed information about what is 4/45 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

4/45 as a Decimal Expansion
4/45 = 0.0889
Hence,
4/45 as a decimal equals to 0.0889
where,
4/45 is a given fraction,
The decimal expansion of 4/45 is 0.0889

4/45 as a Mixed Number
The given fraction 4/45 can't be represented as a mixed number since the numerator 4 of the given fraction is smaller than the denominator 45.

For values other than 4/45, use this below tool:

## How-to: 4/45 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 4/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 4/45

What to be found:
Find the decimal expansion of fraction 4/45.

step 2 The numerator is smaller than the denominator of the fraction 4/45, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 4/45.
= 4/45 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 4/45 x 1/100
= 400/45 x 1/100

step 4 Simplify the above expression further:
= 400/45 x 1/100
= 360 + 40/45 x 1/100
= ( 360/45 + 40/45) x 1/100
= (8 + 40/45 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 40/45 in the above expression:
= (8 + 40/45 ) x 1/100
= (8 + 0.889) x 1/100

step 6 Simplify the above expression further:
= (8 + 0.889) x 1/100
= 8.889 x 1/100
= 8.889/100
4/45= 0.08889

Hence,
4/45 as a decimal is 0.08889 