4/72 as a decimal expansion provides the detailed information about what is 4/72 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
4/72 as a Decimal
4/72 = 0.0556
Hence,
4/72 as a decimal equals to 0.0556
where,
4/72 is a given fraction,
The decimal expansion of 4/72 is 0.0556
4/72 as a Mixed Number
The given fraction 4/72 can't be represented as a mixed number since the numerator 4 of the given fraction is smaller than the denominator 72.
The below work with steps provide the detailed information about how to convert fraction 4/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 4/72
What to be found:
Find the decimal expansion of fraction 4/72.
step 2 The numerator is smaller than the denominator of the fraction 4/72, 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 4/72.
= 4/72 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 4/72 x 1/100
= 400/72 x 1/100
step 4 Simplify the above expression further:
= 400/72 x 1/100
= 360 + 40/72 x 1/100
= ( 360/72 + 40/72) x 1/100
= (5 + 40/72 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 40/72 in the above expression:
= (5 + 40/72 ) x 1/100
= (5 + 0.556) x 1/100
step 6 Simplify the above expression further:
= (5 + 0.556) x 1/100
= 5.556 x 1/100
= 5.556/100
4/72= 0.05556
Hence,
4/72 as a decimal is 0.05556