152/24 as a Decimal and Mixed Number

152/24 as a decimal and mixed number expansion provides the detailed information about what is 152/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

152/24 as a Decimal
152/24 = 6.3333
Hence,
152/24 as a decimal equals to 6.3333
where,
152/24 is a given fraction,
The decimal expansion of 152/24 is 6.3333

152/24 as a Mixed Number
152/24 = (144 + 8)/24
= 144/24 + 8/24
= 6 + 8/24
= 6 8/24
152/24 = 6 8/24

Hence,
152/24 as a mixed number is 6 ⁸/₂₄
where,
152/24 is a given fraction,
6 ⁸/₂₄ is the mixed number representation of 152/24.

The below work with steps provide the detailed information about how to convert fraction 152/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 152/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 152/24.

step 2 The numerator is greater than the denominator of the fraction 152/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 152/24
= 144 + 8/24
= (6 x 24) + 8/24

step 3 Make the above expression as individual fractions:
= (6 x 24)/24 + 8/24

step 4 Simplify the above expression:
= 6 x 24/24 + 8/24
= 6 + 8/24
= 6 + 1 x 8/3 x 8
= 6 + 1/3
6 + 1/3 can be written as a mixed number 6 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 6 + 0.3333
= 6.3333
152/24 = 6.3333

Hence,
152/24 as a decimal is 6.3333
152/24 as a mixed number is 6 ¹/₃