102/21 as a Decimal and Mixed Number

102/21 as a decimal and mixed number expansion provides the detailed information about what is 102/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

102/21 as a Decimal
102/21 = 4.8571
Hence,
102/21 as a decimal equals to 4.8571
where,
102/21 is a given fraction,
The decimal expansion of 102/21 is 4.8571

102/21 as a Mixed Number
102/21 = (84 + 18)/21
= 84/21 + 18/21
= 4 + 18/21
= 4 18/21
102/21 = 4 18/21

Hence,
102/21 as a mixed number is 4 ¹⁸/₂₁
where,
102/21 is a given fraction,
4 ¹⁸/₂₁ is the mixed number representation of 102/21.

The below work with steps provide the detailed information about how to convert fraction 102/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/21.

step 2 The numerator is greater than the denominator of the fraction 102/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/21
= 84 + 18/21
= (4 x 21) + 18/21

step 3 Make the above expression as individual fractions:
= (4 x 21)/21 + 18/21

step 4 Simplify the above expression:
= 4 x 21/21 + 18/21
= 4 + 18/21
= 4 + 6 x 3/7 x 3
= 4 + 6/7
4 + 6/7 can be written as a mixed number 4 ⁶/₇.


step 5 Find the decimal equivalent for the fractional part 6/7 in the above expression:
= 4 + 0.8571
= 4.8571
102/21 = 4.8571

Hence,
102/21 as a decimal is 4.8571
102/21 as a mixed number is 4 ⁶/₇