152/18 as a Decimal and Mixed Number

152/18 as a decimal and mixed number expansion provides the detailed information about what is 152/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

152/18 as a Decimal
152/18 = 8.4444
Hence,
152/18 as a decimal equals to 8.4444
where,
152/18 is a given fraction,
The decimal expansion of 152/18 is 8.4444

152/18 as a Mixed Number
152/18 = (144 + 8)/18
= 144/18 + 8/18
= 8 + 8/18
= 8 8/18
152/18 = 8 8/18

Hence,
152/18 as a mixed number is 8 ⁸/₁₈
where,
152/18 is a given fraction,
8 ⁸/₁₈ is the mixed number representation of 152/18.

The below work with steps provide the detailed information about how to convert fraction 152/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 152/18

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 152/18.

step 2 The numerator is greater than the denominator of the fraction 152/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 152/18
= 144 + 8/18
= (8 x 18) + 8/18

step 3 Make the above expression as individual fractions:
= (8 x 18)/18 + 8/18

step 4 Simplify the above expression:
= 8 x 18/18 + 8/18
= 8 + 8/18
= 8 + 4 x 2/9 x 2
= 8 + 4/9
8 + 4/9 can be written as a mixed number 8 ⁴/₉.


step 5 Find the decimal equivalent for the fractional part 4/9 in the above expression:
= 8 + 0.4444
= 8.4444
152/18 = 8.4444

Hence,
152/18 as a decimal is 8.4444
152/18 as a mixed number is 8 ⁴/₉