9/118 as a decimal expansion provides the detailed information about what is 9/118 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
9/118 as a Decimal
9/118 = 0.0763
Hence,
9/118 as a decimal equals to 0.0763
where,
9/118 is a given fraction,
The decimal expansion of 9/118 is 0.0763
9/118 as a Mixed Number
The given fraction 9/118 can't be represented as a mixed number since the numerator 9 of the given fraction is smaller than the denominator 118.
The below work with steps provide the detailed information about how to convert fraction 9/118 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 9/118
What to be found:
Find the decimal expansion of fraction 9/118.
step 2 The numerator is smaller than the denominator of the fraction 9/118, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 2 more digits than the numerator, multiply 1000 with both numerator and denominator of 9/118.
= 9/118 x 1000/1000
step 3 Rearrange the fraction as like the below:
= 1000 x 9/118 x 1/1000
= 9000/118 x 1/1000
step 4 Simplify the above expression further:
= 9000/118 x 1/1000
= 8968 + 32/118 x 1/1000
= ( 8968/118 + 32/118) x 1/1000
= (76 + 32/118 ) x 1/1000
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 32/118 in the above expression:
= (76 + 32/118 ) x 1/1000
= (76 + 0.271) x 1/1000
step 6 Simplify the above expression further:
= (76 + 0.271) x 1/1000
= 76.271 x 1/1000
= 76.271/1000
9/118= 0.076271
Hence,
9/118 as a decimal is 0.076271