4/63 as a decimal expansion provides the detailed information about what is 4/63 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
4/63 as a Decimal Expansion
4/63 = 0.0635
Hence,
4/63 as a decimal equals to 0.0635
where,
4/63 is a given fraction,
The decimal expansion of 4/63 is 0.0635
4/63 as a Mixed Number
The given fraction 4/63 can't be represented as a mixed number since the numerator 4 of the given fraction is smaller than the denominator 63.
The below work with steps provide the detailed information about how to convert fraction 4/63 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 4/63
What to be found:
Find the decimal expansion of fraction 4/63.
step 2 The numerator is smaller than the denominator of the fraction 4/63, 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 4/63.
= 4/63 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 4/63 x 1/100
= 400/63 x 1/100
step 4 Simplify the above expression further:
= 400/63 x 1/100
= 378 + 22/63 x 1/100
= ( 378/63 + 22/63) x 1/100
= (6 + 22/63 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 22/63 in the above expression:
= (6 + 22/63 ) x 1/100
= (6 + 0.349) x 1/100
step 6 Simplify the above expression further:
= (6 + 0.349) x 1/100
= 6.349 x 1/100
= 6.349/100
4/63= 0.06349
Hence,
4/63 as a decimal is 0.06349