152/21 as a Decimal and Mixed Number

152/21 as a decimal and mixed number expansion provides the detailed information about what is 152/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

152/21 as a Decimal
152/21 = 7.2381
Hence,
152/21 as a decimal equals to 7.2381
where,
152/21 is a given fraction,
The decimal expansion of 152/21 is 7.2381

152/21 as a Mixed Number
152/21 = (147 + 5)/21
= 147/21 + 5/21
= 7 + 5/21
= 7 5/21
152/21 = 7 5/21

Hence,
152/21 as a mixed number is 7 ⁵/₂₁
where,
152/21 is a given fraction,
7 ⁵/₂₁ is the mixed number representation of 152/21.

The below work with steps provide the detailed information about how to convert fraction 152/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 152/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 152/21.

step 2 The numerator is greater than the denominator of the fraction 152/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 152/21
= 147 + 5/21
= (7 x 21) + 5/21

step 3 Make the above expression as individual fractions:
= (7 x 21)/21 + 5/21

step 4 Simplify the above expression:
= 7 x 21/21 + 5/21
= 7 + 5/21
7 + 5/21 can be written as a mixed number 7 ⁵/₂₁.


step 5 Find the decimal equivalent for the fractional part 5/21 in the above expression:
= 7 + 0.2381
= 7.2381
152/21 = 7.2381

Hence,
152/21 as a decimal is 7.2381
152/21 as a mixed number is 7 ⁵/₂₁