80/97 as a decimal expansion provides the detailed information about what is 80/97 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
80/97 as a Decimal
80/97 = 0.8247
Hence,
80/97 as a decimal equals to 0.8247
where,
80/97 is a given fraction,
The decimal expansion of 80/97 is 0.8247
80/97 as a Mixed Number
The given fraction 80/97 can't be represented as a mixed number since the numerator 80 of the given fraction is smaller than the denominator 97.
The below work with steps provide the detailed information about how to convert fraction 80/97 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 80/97
What to be found:
Find the decimal expansion of fraction 80/97.
step 2 The numerator is smaller than the denominator of the fraction 80/97, 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 80/97.
= 80/97 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 80/97 x 1/10
= 800/97 x 1/10
step 4 Simplify the above expression further:
= 800/97 x 1/10
= 776 + 24/97 x 1/10
= ( 776/97 + 24/97) x 1/10
= (8 + 24/97 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 24/97 in the above expression:
= (8 + 24/97 ) x 1/10
= (8 + 0.247) x 1/10
step 6 Simplify the above expression further:
= (8 + 0.247) x 1/10
= 8.247 x 1/10
= 8.247/10
80/97= 0.8247
Hence,
80/97 as a decimal is 0.8247