37/55 as a Decimal

37/55 as a decimal expansion provides the detailed information about what is 37/55 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

37/55 as a Decimal Expansion
37/55 = 0.6727
Hence,
37/55 as a decimal equals to 0.6727
where,
37/55 is a given fraction,
The decimal expansion of 37/55 is 0.6727

37/55 as a Mixed Number
The given fraction 37/55 can't be represented as a mixed number since the numerator 37 of the given fraction is smaller than the denominator 55.

The below work with steps provide the detailed information about how to convert fraction 37/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 37/55

What to be found:
Find the decimal expansion of fraction 37/55.

step 2 The numerator is smaller than the denominator of the fraction 37/55, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 37/55.
= 37/55 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 37/55 x 1/10
= 370/55 x 1/10

step 4 Simplify the above expression further:
= 370/55 x 1/10
= 330 + 40/55 x 1/10
= ( 330/55 + 40/55) x 1/10
= (6 + 40/55 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 40/55 in the above expression:
= (6 + 40/55 ) x 1/10
= (6 + 0.727) x 1/10

step 6 Simplify the above expression further:
= (6 + 0.727) x 1/10
= 6.727 x 1/10
= 6.727/10
37/55= 0.6727

Hence,
37/55 as a decimal is 0.6727