3/248 as a Decimal

3/248 as a decimal expansion provides the detailed information about what is 3/248 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

3/248 as a Decimal
3/248 = 0.0121
Hence,
3/248 as a decimal equals to 0.0121
where,
3/248 is a given fraction,
The decimal expansion of 3/248 is 0.0121

3/248 as a Mixed Number
The given fraction 3/248 can't be represented as a mixed number since the numerator 3 of the given fraction is smaller than the denominator 248.

The below work with steps provide the detailed information about how to convert fraction 3/248 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 3/248

What to be found:
Find the decimal expansion of fraction 3/248.

step 2 The numerator is smaller than the denominator of the fraction 3/248, 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 3/248.
= 3/248 x 1000/1000

step 3 Rearrange the fraction as like the below:
= 1000 x 3/248 x 1/1000
= 3000/248 x 1/1000

step 4 Simplify the above expression further:
= 3000/248 x 1/1000
= 2976 + 24/248 x 1/1000
= ( 2976/248 + 24/248) x 1/1000
= (12 + 24/248 ) x 1/1000

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 24/248 in the above expression:
= (12 + 24/248 ) x 1/1000
= (12 + 0.097) x 1/1000

step 6 Simplify the above expression further:
= (12 + 0.097) x 1/1000
= 12.097 x 1/1000
= 12.097/1000
3/248= 0.012097

Hence,
3/248 as a decimal is 0.012097