8/97 as a decimal expansion provides the detailed information about what is 8/97 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
8/97 as a Decimal
8/97 = 0.0825
Hence,
8/97 as a decimal equals to 0.0825
where,
8/97 is a given fraction,
The decimal expansion of 8/97 is 0.0825
8/97 as a Mixed Number
The given fraction 8/97 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 97.
The below work with steps provide the detailed information about how to convert fraction 8/97 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/97
What to be found:
Find the decimal expansion of fraction 8/97.
step 2 The numerator is smaller than the denominator of the fraction 8/97, 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 8/97.
= 8/97 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 8/97 x 1/100
= 800/97 x 1/100
step 4 Simplify the above expression further:
= 800/97 x 1/100
= 776 + 24/97 x 1/100
= ( 776/97 + 24/97) x 1/100
= (8 + 24/97 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 24/97 in the above expression:
= (8 + 24/97 ) x 1/100
= (8 + 0.247) x 1/100
step 6 Simplify the above expression further:
= (8 + 0.247) x 1/100
= 8.247 x 1/100
= 8.247/100
8/97= 0.08247
Hence,
8/97 as a decimal is 0.08247