5/28 as a decimal expansion provides the detailed information about what is 5/28 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
5/28 as a Decimal Expansion
5/28 = 0.1786
Hence,
5/28 as a decimal equals to 0.1786
where,
5/28 is a given fraction,
The decimal expansion of 5/28 is 0.1786
5/28 as a Mixed Number
The given fraction 5/28 can't be represented as a mixed number since the numerator 5 of the given fraction is smaller than the denominator 28.
The below work with steps provide the detailed information about how to convert fraction 5/28 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 5/28
What to be found:
Find the decimal expansion of fraction 5/28.
step 2 The numerator is smaller than the denominator of the fraction 5/28, 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 5/28.
= 5/28 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 5/28 x 1/100
= 500/28 x 1/100
step 4 Simplify the above expression further:
= 500/28 x 1/100
= 476 + 24/28 x 1/100
= ( 476/28 + 24/28) x 1/100
= (17 + 24/28 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 24/28 in the above expression:
= (17 + 24/28 ) x 1/100
= (17 + 0.857) x 1/100
step 6 Simplify the above expression further:
= (17 + 0.857) x 1/100
= 17.857 x 1/100
= 17.857/100
5/28= 0.17857
Hence,
5/28 as a decimal is 0.17857