100/21 as a Decimal and Mixed Number

100/21 as a decimal and mixed number expansion provides the detailed information about what is 100/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

100/21 as a Decimal
100/21 = 4.7619
Hence,
100/21 as a decimal equals to 4.7619
where,
100/21 is a given fraction,
The decimal expansion of 100/21 is 4.7619

100/21 as a Mixed Number
100/21 = (84 + 16)/21
= 84/21 + 16/21
= 4 + 16/21
= 4 16/21
100/21 = 4 16/21

Hence,
100/21 as a mixed number is 4 ¹⁶/₂₁
where,
100/21 is a given fraction,
4 ¹⁶/₂₁ is the mixed number representation of 100/21.

The below work with steps provide the detailed information about how to convert fraction 100/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 100/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 100/21.

step 2 The numerator is greater than the denominator of the fraction 100/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 100/21
= 84 + 16/21
= (4 x 21) + 16/21

step 3 Make the above expression as individual fractions:
= (4 x 21)/21 + 16/21

step 4 Simplify the above expression:
= 4 x 21/21 + 16/21
= 4 + 16/21
4 + 16/21 can be written as a mixed number 4 ¹⁶/₂₁.


step 5 Find the decimal equivalent for the fractional part 16/21 in the above expression:
= 4 + 0.7619
= 4.7619
100/21 = 4.7619

Hence,
100/21 as a decimal is 4.7619
100/21 as a mixed number is 4 ¹⁶/₂₁