5/37 as a Decimal
5/37 as a decimal expansion provides the detailed information about what is 5/37 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
5/37 as a Decimal Expansion
5/37 = 0.1351
Hence,
5/37 as a decimal equals to 0.1351
where,
5/37 is a given fraction,
The decimal expansion of 5/37 is 0.1351
5/37 as a Mixed Number
The given fraction 5/37 can't be represented as a mixed number since the numerator 5 of the given fraction is smaller than the denominator 37.
How-to: 5/37 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 5/37 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 5/37
What to be found:
Find the decimal expansion of fraction 5/37.
step 2 The numerator is smaller than the denominator of the fraction 5/37, 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 5/37.
= 5/37 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 5/37 x 1/100
= 500/37 x 1/100
step 4 Simplify the above expression further:
= 500/37 x 1/100
= 481 + 19/37 x 1/100
= ( 481/37 + 19/37) x 1/100
= (13 + 19/37 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 19/37 in the above expression:
= (13 + 19/37 ) x 1/100
= (13 + 0.514) x 1/100
step 6 Simplify the above expression further:
= (13 + 0.514) x 1/100
= 13.514 x 1/100
= 13.514/100
5/37= 0.13514
Hence,
5/37 as a decimal is 0.13514
