# 1/400 as a Decimal 1/400 as a decimal expansion provides the detailed information about what is 1/400 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

1/400 as a Decimal Expansion
1/400 = 0.0025
Hence,
1/400 as a decimal equals to 0.0025
where,
1/400 is a given fraction,
The decimal expansion of 1/400 is 0.0025

1/400 as a Mixed Number
The given fraction 1/400 can't be represented as a mixed number since the numerator 1 of the given fraction is smaller than the denominator 400.

For values other than 1/400, use this below tool:

## How-to: 1/400 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 1/400 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 1/400

What to be found:
Find the decimal expansion of fraction 1/400.

step 2 The numerator is smaller than the denominator of the fraction 1/400, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 2 more digits than the numerator, multiply 1000 with both numerator and denominator of 1/400.
= 1/400 x 1000/1000

step 3 Rearrange the fraction as like the below:
= 1000/400 x 1/1000

step 4 Simplify the above expression further:
= 1000/400 x 1/1000
= 800 + 200/400 x 1/1000
= ( 800/400 + 200/400) x 1/1000
= (2 + 200/400 ) x 1/1000

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 200/400 in the above expression:
= (2 + 200/400 ) x 1/1000
= (2 + 0.5) x 1/1000

step 6 Simplify the above expression further:
= (2 + 0.5) x 1/1000
= 2.5 x 1/1000
= 2.5/1000
1/400= 0.0025

Hence,
1/400 as a decimal is 0.0025 