5/47 as a Decimal
5/47 as a decimal expansion provides the detailed information about what is 5/47 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
5/47 as a Decimal Expansion
5/47 = 0.1064
Hence,
5/47 as a decimal equals to 0.1064
where,
5/47 is a given fraction,
The decimal expansion of 5/47 is 0.1064
5/47 as a Mixed Number
The given fraction 5/47 can't be represented as a mixed number since the numerator 5 of the given fraction is smaller than the denominator 47.
How-to: 5/47 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 5/47 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 5/47
What to be found:
Find the decimal expansion of fraction 5/47.
step 2 The numerator is smaller than the denominator of the fraction 5/47, 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 5/47.
= 5/47 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 5/47 x 1/100
= 500/47 x 1/100
step 4 Simplify the above expression further:
= 500/47 x 1/100
= 470 + 30/47 x 1/100
= ( 470/47 + 30/47) x 1/100
= (10 + 30/47 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 30/47 in the above expression:
= (10 + 30/47 ) x 1/100
= (10 + 0.638) x 1/100
step 6 Simplify the above expression further:
= (10 + 0.638) x 1/100
= 10.638 x 1/100
= 10.638/100
5/47= 0.10638
Hence,
5/47 as a decimal is 0.10638
