85/21 as a Decimal and Mixed Number

85/21 as a decimal and mixed number expansion provides the detailed information about what is 85/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

85/21 as a Decimal
85/21 = 4.0476
Hence,
85/21 as a decimal equals to 4.0476
where,
85/21 is a given fraction,
The decimal expansion of 85/21 is 4.0476

85/21 as a Mixed Number
85/21 = (84 + 1)/21
= 84/21 + 1/21
= 4 + 1/21
= 4 1/21
85/21 = 4 1/21

Hence,
85/21 as a mixed number is 4 ¹/₂₁
where,
85/21 is a given fraction,
4 ¹/₂₁ is the mixed number representation of 85/21.

The below work with steps provide the detailed information about how to convert fraction 85/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 85/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 85/21.

step 2 The numerator is greater than the denominator of the fraction 85/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 85/21
= 84 + 1/21
= (4 x 21) + 1/21

step 3 Make the above expression as individual fractions:
= (4 x 21)/21 + 1/21

step 4 Simplify the above expression:
= 4 x 21/21 + 1/21
= 4 + 1/21
4 + 1/21 can be written as a mixed number 4 ¹/₂₁.


step 5 Find the decimal equivalent for the fractional part 1/21 in the above expression:
= 4 + 0.0476
= 4.0476
85/21 = 4.0476

Hence,
85/21 as a decimal is 4.0476
85/21 as a mixed number is 4 ¹/₂₁