3/56 as a decimal expansion provides the detailed information about what is 3/56 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
3/56 as a Decimal Expansion
3/56 = 0.0536
Hence,
3/56 as a decimal equals to 0.0536
where,
3/56 is a given fraction,
The decimal expansion of 3/56 is 0.0536
3/56 as a Mixed Number
The given fraction 3/56 can't be represented as a mixed number since the numerator 3 of the given fraction is smaller than the denominator 56.
The below work with steps provide the detailed information about how to convert fraction 3/56 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 3/56
What to be found:
Find the decimal expansion of fraction 3/56.
step 2 The numerator is smaller than the denominator of the fraction 3/56, 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 3/56.
= 3/56 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 3/56 x 1/100
= 300/56 x 1/100
step 4 Simplify the above expression further:
= 300/56 x 1/100
= 280 + 20/56 x 1/100
= ( 280/56 + 20/56) x 1/100
= (5 + 20/56 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 20/56 in the above expression:
= (5 + 20/56 ) x 1/100
= (5 + 0.357) x 1/100
step 6 Simplify the above expression further:
= (5 + 0.357) x 1/100
= 5.357 x 1/100
= 5.357/100
3/56= 0.05357
Hence,
3/56 as a decimal is 0.05357