220/21 as a Decimal and Mixed Number

220/21 as a decimal and mixed number expansion provides the detailed information about what is 220/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

220/21 as a Decimal
220/21 = 10.4762
Hence,
220/21 as a decimal equals to 10.4762
where,
220/21 is a given fraction,
The decimal expansion of 220/21 is 10.4762

220/21 as a Mixed Number
220/21 = (210 + 10)/21
= 210/21 + 10/21
= 10 + 10/21
= 10 10/21
220/21 = 10 10/21

Hence,
220/21 as a mixed number is 10 ¹⁰/₂₁
where,
220/21 is a given fraction,
10 ¹⁰/₂₁ is the mixed number representation of 220/21.

The below work with steps provide the detailed information about how to convert fraction 220/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 220/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 220/21.

step 2 The numerator is greater than the denominator of the fraction 220/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 220/21
= 210 + 10/21
= (10 x 21) + 10/21

step 3 Make the above expression as individual fractions:
= (10 x 21)/21 + 10/21

step 4 Simplify the above expression:
= 10 x 21/21 + 10/21
= 10 + 10/21
10 + 10/21 can be written as a mixed number 10 ¹⁰/₂₁.


step 5 Find the decimal equivalent for the fractional part 10/21 in the above expression:
= 10 + 0.4762
= 10.4762
220/21 = 10.4762

Hence,
220/21 as a decimal is 10.4762
220/21 as a mixed number is 10 ¹⁰/₂₁