174/12 as a Decimal and Mixed Number

174/12 as a decimal and mixed number expansion provides the detailed information about what is 174/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

174/12 as a Decimal
174/12 = 14.5
Hence,
174/12 as a decimal equals to 14.5
where,
174/12 is a given fraction,
The decimal expansion of 174/12 is 14.5

174/12 as a Mixed Number
174/12 = (168 + 6)/12
= 168/12 + 6/12
= 14 + 6/12
= 14 6/12
174/12 = 14 6/12

Hence,
174/12 as a mixed number is 14 ⁶/₁₂
where,
174/12 is a given fraction,
14 ⁶/₁₂ is the mixed number representation of 174/12.

The below work with steps provide the detailed information about how to convert fraction 174/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 174/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 174/12.

step 2 The numerator is greater than the denominator of the fraction 174/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 174/12
= 168 + 6/12
= (14 x 12) + 6/12

step 3 Make the above expression as individual fractions:
= (14 x 12)/12 + 6/12

step 4 Simplify the above expression:
= 14 x 12/12 + 6/12
= 14 + 6/12
= 14 + 1 x 6/2 x 6
= 14 + 1/2
14 + 1/2 can be written as a mixed number 14 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:
= 14 + (1/2 x 5/5)
= 14 + 5/10

step 6 Simplify the above expression further:
= 14 + 0.5
= 14.5
174/12 = 14.5

Hence,
174/12 as a decimal is 14.5
174/12 as a mixed number is 14 ¹/₂