171/18 as a Decimal and Mixed Number

171/18 as a decimal and mixed number expansion provides the detailed information about what is 171/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

171/18 as a Decimal
171/18 = 9.5
Hence,
171/18 as a decimal equals to 9.5
where,
171/18 is a given fraction,
The decimal expansion of 171/18 is 9.5

171/18 as a Mixed Number
171/18 = (162 + 9)/18
= 162/18 + 9/18
= 9 + 9/18
= 9 9/18
171/18 = 9 9/18

Hence,
171/18 as a mixed number is 9 ⁹/₁₈
where,
171/18 is a given fraction,
9 ⁹/₁₈ is the mixed number representation of 171/18.

The below work with steps provide the detailed information about how to convert fraction 171/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 171/18

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 171/18.

step 2 The numerator is greater than the denominator of the fraction 171/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 171/18
= 162 + 9/18
= (9 x 18) + 9/18

step 3 Make the above expression as individual fractions:
= (9 x 18)/18 + 9/18

step 4 Simplify the above expression:
= 9 x 18/18 + 9/18
= 9 + 9/18
= 9 + 1 x 9/2 x 9
= 9 + 1/2
9 + 1/2 can be written as a mixed number 9 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 9 + (1/2 x 5/5)
= 9 + 5/10

step 6 Simplify the above expression further:
= 9 + 0.5
= 9.5
171/18 = 9.5

Hence,
171/18 as a decimal is 9.5
171/18 as a mixed number is 9 ¹/₂