171/12 as a Decimal and Mixed Number

171/12 as a decimal and mixed number expansion provides the detailed information about what is 171/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

171/12 as a Decimal
171/12 = 14.25
Hence,
171/12 as a decimal equals to 14.25
where,
171/12 is a given fraction,
The decimal expansion of 171/12 is 14.25

171/12 as a Mixed Number
171/12 = (168 + 3)/12
= 168/12 + 3/12
= 14 + 3/12
= 14 3/12
171/12 = 14 3/12

Hence,
171/12 as a mixed number is 14 ³/₁₂
where,
171/12 is a given fraction,
14 ³/₁₂ is the mixed number representation of 171/12.

The below work with steps provide the detailed information about how to convert fraction 171/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 171/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 171/12.

step 2 The numerator is greater than the denominator of the fraction 171/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 171/12
= 168 + 3/12
= (14 x 12) + 3/12

step 3 Make the above expression as individual fractions:
= (14 x 12)/12 + 3/12

step 4 Simplify the above expression:
= 14 x 12/12 + 3/12
= 14 + 3/12
= 14 + 1 x 3/4 x 3
= 14 + 1/4
14 + 1/4 can be written as a mixed number 14 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 14 + (1/4 x 25/25)
= 14 + 25/100

step 6 Simplify the above expression further:
= 14 + 0.25
= 14.25
171/12 = 14.25

Hence,
171/12 as a decimal is 14.25
171/12 as a mixed number is 14 ¹/₄