# 7/40 as a Decimal 7/40 as a decimal expansion provides the detailed information about what is 7/40 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

7/40 as a Decimal Expansion
7/40 = 0.175
Hence,
7/40 as a decimal equals to 0.175
where,
7/40 is a given fraction,
The decimal expansion of 7/40 is 0.175

7/40 as a Mixed Number
The given fraction 7/40 can't be represented as a mixed number since the numerator 7 of the given fraction is smaller than the denominator 40.

For values other than 7/40, use this below tool:

## How-to: 7/40 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 7/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 7/40

What to be found:
Find the decimal expansion of fraction 7/40.

step 2 The numerator is smaller than the denominator of the fraction 7/40, 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 7/40.
= 7/40 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 7/40 x 1/100
= 700/40 x 1/100

step 4 Simplify the above expression further:
= 700/40 x 1/100
= 680 + 20/40 x 1/100
= ( 680/40 + 20/40) x 1/100
= (17 + 20/40 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 20/40 in the above expression:
= (17 + 20/40 ) x 1/100
= (17 + 0.5) x 1/100

step 6 Simplify the above expression further:
= (17 + 0.5) x 1/100
= 17.5 x 1/100
= 17.5/100
7/40= 0.175

Hence,
7/40 as a decimal is 0.175 