105/120 as a Decimal

105/120 as a decimal expansion provides the detailed information about what is 105/120 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

105/120 as a Decimal
105/120 = 0.875
Hence,
105/120 as a decimal equals to 0.875
where,
105/120 is a given fraction,
The decimal expansion of 105/120 is 0.875

105/120 as a Mixed Number
The given fraction 105/120 can't be represented as a mixed number since the numerator 105 of the given fraction is smaller than the denominator 120.

The below work with steps provide the detailed information about how to convert fraction 105/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 105/120

What to be found:
Find the decimal expansion of fraction 105/120.

step 2 The numerator is smaller than the denominator of the fraction 105/120, 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 105/120.
= 105/120 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 105/120 x 1/10
= 1050/120 x 1/10

step 4 Simplify the above expression further:
= 1050/120 x 1/10
= 960 + 90/120 x 1/10
= ( 960/120 + 90/120) x 1/10
= (8 + 90/120 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 90/120 in the above expression:
= (8 + 90/120 ) x 1/10
= (8 + 0.75) x 1/10

step 6 Simplify the above expression further:
= (8 + 0.75) x 1/10
= 8.75 x 1/10
= 8.75/10
105/120= 0.875

Hence,
105/120 as a decimal is 0.875