7/72 as a decimal expansion provides the detailed information about what is 7/72 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
7/72 as a Decimal Expansion
7/72 = 0.0972
Hence,
7/72 as a decimal equals to 0.0972
where,
7/72 is a given fraction,
The decimal expansion of 7/72 is 0.0972
7/72 as a Mixed Number
The given fraction 7/72 can't be represented as a mixed number since the numerator 7 of the given fraction is smaller than the denominator 72.
The below work with steps provide the detailed information about how to convert fraction 7/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 7/72
What to be found:
Find the decimal expansion of fraction 7/72.
step 2 The numerator is smaller than the denominator of the fraction 7/72, 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 7/72.
= 7/72 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 7/72 x 1/100
= 700/72 x 1/100
step 4 Simplify the above expression further:
= 700/72 x 1/100
= 648 + 52/72 x 1/100
= ( 648/72 + 52/72) x 1/100
= (9 + 52/72 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 52/72 in the above expression:
= (9 + 52/72 ) x 1/100
= (9 + 0.722) x 1/100
step 6 Simplify the above expression further:
= (9 + 0.722) x 1/100
= 9.722 x 1/100
= 9.722/100
7/72= 0.09722
Hence,
7/72 as a decimal is 0.09722