152/7 as a Decimal and Mixed Number

152/7 as a decimal and mixed number expansion provides the detailed information about what is 152/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

152/7 as a Decimal
152/7 = 21.7143
Hence,
152/7 as a decimal equals to 21.7143
where,
152/7 is a given fraction,
The decimal expansion of 152/7 is 21.7143

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

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

The below work with steps provide the detailed information about how to convert fraction 152/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 152/7

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 152/7.

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

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

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


step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 21 + 0.7143
= 21.7143
152/7 = 21.7143

Hence,
152/7 as a decimal is 21.7143
152/7 as a mixed number is 21 ⁵/₇