5/48 as a Decimal
5/48 as a decimal expansion provides the detailed information about what is 5/48 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
5/48 as a Decimal Expansion
5/48 = 0.1042
Hence,
5/48 as a decimal equals to 0.1042
where,
5/48 is a given fraction,
The decimal expansion of 5/48 is 0.1042
5/48 as a Mixed Number
The given fraction 5/48 can't be represented as a mixed number since the numerator 5 of the given fraction is smaller than the denominator 48.
How-to: 5/48 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 5/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 5/48
What to be found:
Find the decimal expansion of fraction 5/48.
step 2 The numerator is smaller than the denominator of the fraction 5/48, 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 5/48.
= 5/48 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 5/48 x 1/100
= 500/48 x 1/100
step 4 Simplify the above expression further:
= 500/48 x 1/100
= 480 + 20/48 x 1/100
= ( 480/48 + 20/48) x 1/100
= (10 + 20/48 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 20/48 in the above expression:
= (10 + 20/48 ) x 1/100
= (10 + 0.417) x 1/100
step 6 Simplify the above expression further:
= (10 + 0.417) x 1/100
= 10.417 x 1/100
= 10.417/100
5/48= 0.10417
Hence,
5/48 as a decimal is 0.10417
