90/21 as a Decimal and Mixed Number

90/21 as a decimal and mixed number expansion provides the detailed information about what is 90/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

90/21 as a Decimal
90/21 = 4.2857
Hence,
90/21 as a decimal equals to 4.2857
where,
90/21 is a given fraction,
The decimal expansion of 90/21 is 4.2857

90/21 as a Mixed Number
90/21 = (84 + 6)/21
= 84/21 + 6/21
= 4 + 6/21
= 4 6/21
90/21 = 4 6/21

Hence,
90/21 as a mixed number is 4 ⁶/₂₁
where,
90/21 is a given fraction,
4 ⁶/₂₁ is the mixed number representation of 90/21.

The below work with steps provide the detailed information about how to convert fraction 90/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 90/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 90/21.

step 2 The numerator is greater than the denominator of the fraction 90/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 90/21
= 84 + 6/21
= (4 x 21) + 6/21

step 3 Make the above expression as individual fractions:
= (4 x 21)/21 + 6/21

step 4 Simplify the above expression:
= 4 x 21/21 + 6/21
= 4 + 6/21
= 4 + 2 x 3/7 x 3
= 4 + 2/7
4 + 2/7 can be written as a mixed number 4 ²/₇.


step 5 Find the decimal equivalent for the fractional part 2/7 in the above expression:
= 4 + 0.2857
= 4.2857
90/21 = 4.2857

Hence,
90/21 as a decimal is 4.2857
90/21 as a mixed number is 4 ²/₇