# 1/53 as a Decimal 1/53 as a decimal expansion provides the detailed information about what is 1/53 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

1/53 as a Decimal Expansion
1/53 = 0.0189
Hence,
1/53 as a decimal equals to 0.0189
where,
1/53 is a given fraction,
The decimal expansion of 1/53 is 0.0189

1/53 as a Mixed Number
The given fraction 1/53 can't be represented as a mixed number since the numerator 1 of the given fraction is smaller than the denominator 53.

For values other than 1/53, use this below tool:

## How-to: 1/53 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 1/53 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 1/53

What to be found:
Find the decimal expansion of fraction 1/53.

step 2 The numerator is smaller than the denominator of the fraction 1/53, 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 1/53.
= 1/53 x 100/100

step 3 Rearrange the fraction as like the below:
= 100/53 x 1/100

step 4 Simplify the above expression further:
= 100/53 x 1/100
= 53 + 47/53 x 1/100
= ( 53/53 + 47/53) x 1/100
= (1 + 47/53 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 47/53 in the above expression:
= (1 + 47/53 ) x 1/100
= (1 + 0.887) x 1/100

step 6 Simplify the above expression further:
= (1 + 0.887) x 1/100
= 1.887 x 1/100
= 1.887/100
1/53= 0.01887

Hence,
1/53 as a decimal is 0.01887 