73/101 as a decimal expansion provides the detailed information about what is 73/101 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
73/101 as a Decimal
73/101 = 0.7228
Hence,
73/101 as a decimal equals to 0.7228
where,
73/101 is a given fraction,
The decimal expansion of 73/101 is 0.7228
73/101 as a Mixed Number
The given fraction 73/101 can't be represented as a mixed number since the numerator 73 of the given fraction is smaller than the denominator 101.
The below work with steps provide the detailed information about how to convert fraction 73/101 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 73/101
What to be found:
Find the decimal expansion of fraction 73/101.
step 2 The numerator is smaller than the denominator of the fraction 73/101, 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 73/101.
= 73/101 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 73/101 x 1/100
= 7300/101 x 1/100
step 4 Simplify the above expression further:
= 7300/101 x 1/100
= 7272 + 28/101 x 1/100
= ( 7272/101 + 28/101) x 1/100
= (72 + 28/101 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 28/101 in the above expression:
= (72 + 28/101 ) x 1/100
= (72 + 0.277) x 1/100
step 6 Simplify the above expression further:
= (72 + 0.277) x 1/100
= 72.277 x 1/100
= 72.277/100
73/101= 0.72277
Hence,
73/101 as a decimal is 0.72277