157/21 as a Decimal and Mixed Number

157/21 as a decimal and mixed number expansion provides the detailed information about what is 157/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

157/21 as a Decimal
157/21 = 7.4762
Hence,
157/21 as a decimal equals to 7.4762
where,
157/21 is a given fraction,
The decimal expansion of 157/21 is 7.4762

157/21 as a Mixed Number
157/21 = (147 + 10)/21
= 147/21 + 10/21
= 7 + 10/21
= 7 10/21
157/21 = 7 10/21

Hence,
157/21 as a mixed number is 7 ¹⁰/₂₁
where,
157/21 is a given fraction,
7 ¹⁰/₂₁ is the mixed number representation of 157/21.

The below work with steps provide the detailed information about how to convert fraction 157/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 157/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 157/21.

step 2 The numerator is greater than the denominator of the fraction 157/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 157/21
= 147 + 10/21
= (7 x 21) + 10/21

step 3 Make the above expression as individual fractions:
= (7 x 21)/21 + 10/21

step 4 Simplify the above expression:
= 7 x 21/21 + 10/21
= 7 + 10/21
7 + 10/21 can be written as a mixed number 7 ¹⁰/₂₁.


step 5 Find the decimal equivalent for the fractional part 10/21 in the above expression:
= 7 + 0.4762
= 7.4762
157/21 = 7.4762

Hence,
157/21 as a decimal is 7.4762
157/21 as a mixed number is 7 ¹⁰/₂₁