152/17 as a Decimal and Mixed Number

152/17 as a decimal and mixed number expansion provides the detailed information about what is 152/17 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

152/17 as a Decimal
152/17 = 8.9412
Hence,
152/17 as a decimal equals to 8.9412
where,
152/17 is a given fraction,
The decimal expansion of 152/17 is 8.9412

152/17 as a Mixed Number
152/17 = (136 + 16)/17
= 136/17 + 16/17
= 8 + 16/17
= 8 16/17
152/17 = 8 16/17

Hence,
152/17 as a mixed number is 8 ¹⁶/₁₇
where,
152/17 is a given fraction,
8 ¹⁶/₁₇ is the mixed number representation of 152/17.

The below work with steps provide the detailed information about how to convert fraction 152/17 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 152/17

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 152/17.

step 2 The numerator is greater than the denominator of the fraction 152/17, so write the given fraction in the expression form in terms of denominator as like the below:
= 152/17
= 136 + 16/17
= (8 x 17) + 16/17

step 3 Make the above expression as individual fractions:
= (8 x 17)/17 + 16/17

step 4 Simplify the above expression:
= 8 x 17/17 + 16/17
= 8 + 16/17
8 + 16/17 can be written as a mixed number 8 ¹⁶/₁₇.


step 5 Find the decimal equivalent for the fractional part 16/17 in the above expression:
= 8 + 0.9412
= 8.9412
152/17 = 8.9412

Hence,
152/17 as a decimal is 8.9412
152/17 as a mixed number is 8 ¹⁶/₁₇