37/120 as a Decimal

37/120 as a decimal expansion provides the detailed information about what is 37/120 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

37/120 as a Decimal
37/120 = 0.3083
Hence,
37/120 as a decimal equals to 0.3083
where,
37/120 is a given fraction,
The decimal expansion of 37/120 is 0.3083

37/120 as a Mixed Number
The given fraction 37/120 can't be represented as a mixed number since the numerator 37 of the given fraction is smaller than the denominator 120.

The below work with steps provide the detailed information about how to convert fraction 37/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 37/120

What to be found:
Find the decimal expansion of fraction 37/120.

step 2 The numerator is smaller than the denominator of the fraction 37/120, 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 37/120.
= 37/120 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 37/120 x 1/100
= 3700/120 x 1/100

step 4 Simplify the above expression further:
= 3700/120 x 1/100
= 3600 + 100/120 x 1/100
= ( 3600/120 + 100/120) x 1/100
= (30 + 100/120 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 100/120 in the above expression:
= (30 + 100/120 ) x 1/100
= (30 + 0.833) x 1/100

step 6 Simplify the above expression further:
= (30 + 0.833) x 1/100
= 30.833 x 1/100
= 30.833/100
37/120= 0.30833

Hence,
37/120 as a decimal is 0.30833