3/40 as a decimal expansion provides the detailed information about what is 3/40 in decimal form, and the answer with steps help students to easily understand how it is being calculated.**3/40 as a Decimal Expansion**

3/40 = 0.075

Hence,

3/40 as a decimal equals to **0.075**

__where,__

3/40 is a given fraction,

The decimal expansion of 3/40 is 0.075**3/40 as a Mixed Number**

The given fraction 3/40 can't be represented as a mixed number since the numerator 3 of the given fraction is smaller than the denominator 40.

The below work with steps provide the detailed information about how to convert fraction 3/40 as a decimal equivalent.

step 1 Address the input parameters and observe what to be found:__Input values:__

The fraction = 3/40__What to be found:__

Find the decimal expansion of fraction 3/40.

step 2 The numerator is smaller than the denominator of the fraction 3/40, 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 3/40.

= 3/40 x 100/100

step 3 Rearrange the fraction as like the below:

= 100 x 3/40 x 1/100

= 300/40 x 1/100

step 4 Simplify the above expression further:

= 300/40 x 1/100

= 280 + 20/40 x 1/100

= ( 280/40 + 20/40) x 1/100

= (7 + 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:

= (7 + 20/40 ) x 1/100

= (7 + 0.5) x 1/100

step 6 Simplify the above expression further:

= (7 + 0.5) x 1/100

= 7.5 x 1/100

= 7.5/100

3/40= 0.075

Hence,

3/40 as a decimal is 0.075