100/35 as a Decimal and Mixed Number

100/35 as a decimal and mixed number expansion provides the detailed information about what is 100/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

100/35 as a Decimal
100/35 = 2.8571
Hence,
100/35 as a decimal equals to 2.8571
where,
100/35 is a given fraction,
The decimal expansion of 100/35 is 2.8571

100/35 as a Mixed Number
100/35 = (70 + 30)/35
= 70/35 + 30/35
= 2 + 30/35
= 2 30/35
100/35 = 2 30/35

Hence,
100/35 as a mixed number is 2 ³⁰/₃₅
where,
100/35 is a given fraction,
2 ³⁰/₃₅ is the mixed number representation of 100/35.

The below work with steps provide the detailed information about how to convert fraction 100/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 100/35

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 100/35.

step 2 The numerator is greater than the denominator of the fraction 100/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 100/35
= 70 + 30/35
= (2 x 35) + 30/35

step 3 Make the above expression as individual fractions:
= (2 x 35)/35 + 30/35

step 4 Simplify the above expression:
= 2 x 35/35 + 30/35
= 2 + 30/35
= 2 + 6 x 5/7 x 5
= 2 + 6/7
2 + 6/7 can be written as a mixed number 2 ⁶/₇.


step 5 Find the decimal equivalent for the fractional part 6/7 in the above expression:
= 2 + 0.8571
= 2.8571
100/35 = 2.8571

Hence,
100/35 as a decimal is 2.8571
100/35 as a mixed number is 2 ⁶/₇