117/167 as a Decimal

117/167 as a decimal expansion provides the detailed information about what is 117/167 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

117/167 as a Decimal
117/167 = 0.7006
Hence,
117/167 as a decimal equals to 0.7006
where,
117/167 is a given fraction,
The decimal expansion of 117/167 is 0.7006

117/167 as a Mixed Number
The given fraction 117/167 can't be represented as a mixed number since the numerator 117 of the given fraction is smaller than the denominator 167.

The below work with steps provide the detailed information about how to convert fraction 117/167 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 117/167

What to be found:
Find the decimal expansion of fraction 117/167.

step 2 The numerator is smaller than the denominator of the fraction 117/167, 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 117/167.
= 117/167 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 117/167 x 1/10
= 1170/167 x 1/10

step 4 Simplify the above expression further:
= 1170/167 x 1/10
= 1169 + 1/167 x 1/10
= ( 1169/167 + 1/167) x 1/10
= (7 + 1/167 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 1/167 in the above expression:
= (7 + 1/167 ) x 1/10
= (7 + 0.006) x 1/10

step 6 Simplify the above expression further:
= (7 + 0.006) x 1/10
= 7.006 x 1/10
= 7.006/10
117/167= 0.7006

Hence,
117/167 as a decimal is 0.7006