9/84 as a decimal expansion provides the detailed information about what is 9/84 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
9/84 as a Decimal
9/84 = 0.1071
Hence,
9/84 as a decimal equals to 0.1071
where,
9/84 is a given fraction,
The decimal expansion of 9/84 is 0.1071
9/84 as a Mixed Number
The given fraction 9/84 can't be represented as a mixed number since the numerator 9 of the given fraction is smaller than the denominator 84.
The below work with steps provide the detailed information about how to convert fraction 9/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 9/84
What to be found:
Find the decimal expansion of fraction 9/84.
step 2 The numerator is smaller than the denominator of the fraction 9/84, 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 9/84.
= 9/84 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 9/84 x 1/100
= 900/84 x 1/100
step 4 Simplify the above expression further:
= 900/84 x 1/100
= 840 + 60/84 x 1/100
= ( 840/84 + 60/84) x 1/100
= (10 + 60/84 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 60/84 in the above expression:
= (10 + 60/84 ) x 1/100
= (10 + 0.714) x 1/100
step 6 Simplify the above expression further:
= (10 + 0.714) x 1/100
= 10.714 x 1/100
= 10.714/100
9/84= 0.10714
Hence,
9/84 as a decimal is 0.10714