100/28 as a Decimal and Mixed Number

100/28 as a decimal and mixed number expansion provides the detailed information about what is 100/28 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

100/28 as a Decimal
100/28 = 3.5714
Hence,
100/28 as a decimal equals to 3.5714
where,
100/28 is a given fraction,
The decimal expansion of 100/28 is 3.5714

100/28 as a Mixed Number
100/28 = (84 + 16)/28
= 84/28 + 16/28
= 3 + 16/28
= 3 16/28
100/28 = 3 16/28

Hence,
100/28 as a mixed number is 3 ¹⁶/₂₈
where,
100/28 is a given fraction,
3 ¹⁶/₂₈ is the mixed number representation of 100/28.

The below work with steps provide the detailed information about how to convert fraction 100/28 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 100/28

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 100/28.

step 2 The numerator is greater than the denominator of the fraction 100/28, so write the given fraction in the expression form in terms of denominator as like the below:
= 100/28
= 84 + 16/28
= (3 x 28) + 16/28

step 3 Make the above expression as individual fractions:
= (3 x 28)/28 + 16/28

step 4 Simplify the above expression:
= 3 x 28/28 + 16/28
= 3 + 16/28
= 3 + 4 x 4/7 x 4
= 3 + 4/7
3 + 4/7 can be written as a mixed number 3 ⁴/₇.


step 5 Find the decimal equivalent for the fractional part 4/7 in the above expression:
= 3 + 0.5714
= 3.5714
100/28 = 3.5714

Hence,
100/28 as a decimal is 3.5714
100/28 as a mixed number is 3 ⁴/₇