6/37 as a Decimal
6/37 as a decimal expansion provides the detailed information about what is 6/37 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
6/37 as a Decimal Expansion
6/37 = 0.1622
Hence,
6/37 as a decimal equals to 0.1622
where,
6/37 is a given fraction,
The decimal expansion of 6/37 is 0.1622
6/37 as a Mixed Number
The given fraction 6/37 can't be represented as a mixed number since the numerator 6 of the given fraction is smaller than the denominator 37.
How-to: 6/37 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 6/37 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 6/37
What to be found:
Find the decimal expansion of fraction 6/37.
step 2 The numerator is smaller than the denominator of the fraction 6/37, 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 6/37.
= 6/37 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 6/37 x 1/100
= 600/37 x 1/100
step 4 Simplify the above expression further:
= 600/37 x 1/100
= 592 + 8/37 x 1/100
= ( 592/37 + 8/37) x 1/100
= (16 + 8/37 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 8/37 in the above expression:
= (16 + 8/37 ) x 1/100
= (16 + 0.216) x 1/100
step 6 Simplify the above expression further:
= (16 + 0.216) x 1/100
= 16.216 x 1/100
= 16.216/100
6/37= 0.16216
Hence,
6/37 as a decimal is 0.16216
