120/296 as a Decimal

120/296 as a decimal expansion provides the detailed information about what is 120/296 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

120/296 as a Decimal
120/296 = 0.4054
Hence,
120/296 as a decimal equals to 0.4054
where,
120/296 is a given fraction,
The decimal expansion of 120/296 is 0.4054

120/296 as a Mixed Number
The given fraction 120/296 can't be represented as a mixed number since the numerator 120 of the given fraction is smaller than the denominator 296.

The below work with steps provide the detailed information about how to convert fraction 120/296 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/296

What to be found:
Find the decimal expansion of fraction 120/296.

step 2 The numerator is smaller than the denominator of the fraction 120/296, 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 120/296.
= 120/296 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 120/296 x 1/10
= 1200/296 x 1/10

step 4 Simplify the above expression further:
= 1200/296 x 1/10
= 1184 + 16/296 x 1/10
= ( 1184/296 + 16/296) x 1/10
= (4 + 16/296 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 16/296 in the above expression:
= (4 + 16/296 ) x 1/10
= (4 + 0.054) x 1/10

step 6 Simplify the above expression further:
= (4 + 0.054) x 1/10
= 4.054 x 1/10
= 4.054/10
120/296= 0.4054

Hence,
120/296 as a decimal is 0.4054