71/21 as a Decimal and Mixed Number

71/21 as a decimal and mixed number expansion provides the detailed information about what is 71/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

71/21 as a Decimal
71/21 = 3.381
Hence,
71/21 as a decimal equals to 3.381
where,
71/21 is a given fraction,
The decimal expansion of 71/21 is 3.381

71/21 as a Mixed Number
71/21 = (63 + 8)/21
= 63/21 + 8/21
= 3 + 8/21
= 3 8/21
71/21 = 3 8/21

Hence,
71/21 as a mixed number is 3 ⁸/₂₁
where,
71/21 is a given fraction,
3 ⁸/₂₁ is the mixed number representation of 71/21.

The below work with steps provide the detailed information about how to convert fraction 71/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 71/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 71/21.

step 2 The numerator is greater than the denominator of the fraction 71/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 71/21
= 63 + 8/21
= (3 x 21) + 8/21

step 3 Make the above expression as individual fractions:
= (3 x 21)/21 + 8/21

step 4 Simplify the above expression:
= 3 x 21/21 + 8/21
= 3 + 8/21
3 + 8/21 can be written as a mixed number 3 ⁸/₂₁.


step 5 Find the decimal equivalent for the fractional part 8/21 in the above expression:
= 3 + 0.381
= 3.381
71/21 = 3.381

Hence,
71/21 as a decimal is 3.381
71/21 as a mixed number is 3 ⁸/₂₁