# 45/52 as a Decimal 45/52 as a decimal expansion provides the detailed information about what is 45/52 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

45/52 as a Decimal Expansion
45/52 = 0.8654
Hence,
45/52 as a decimal equals to 0.8654
where,
45/52 is a given fraction,
The decimal expansion of 45/52 is 0.8654

45/52 as a Mixed Number
The given fraction 45/52 can't be represented as a mixed number since the numerator 45 of the given fraction is smaller than the denominator 52.

For values other than 45/52, use this below tool:

## How-to: 45/52 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 45/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 45/52

What to be found:
Find the decimal expansion of fraction 45/52.

step 2 The numerator is smaller than the denominator of the fraction 45/52, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 45/52.
= 45/52 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 45/52 x 1/10
= 450/52 x 1/10

step 4 Simplify the above expression further:
= 450/52 x 1/10
= 416 + 34/52 x 1/10
= ( 416/52 + 34/52) x 1/10
= (8 + 34/52 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 34/52 in the above expression:
= (8 + 34/52 ) x 1/10
= (8 + 0.654) x 1/10

step 6 Simplify the above expression further:
= (8 + 0.654) x 1/10
= 8.654 x 1/10
= 8.654/10
45/52= 0.8654

Hence,
45/52 as a decimal is 0.8654 