171/144 as a Decimal and Mixed Number

171/144 as a decimal and mixed number expansion provides the detailed information about what is 171/144 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

171/144 as a Decimal
171/144 = 1.1875
Hence,
171/144 as a decimal equals to 1.1875
where,
171/144 is a given fraction,
The decimal expansion of 171/144 is 1.1875

171/144 as a Mixed Number
171/144 = (144 + 27)/144
= 144/144 + 27/144
= 1 + 27/144
= 1 27/144
171/144 = 1 27/144

Hence,
171/144 as a mixed number is 1 ²⁷/₁₄₄
where,
171/144 is a given fraction,
1 ²⁷/₁₄₄ is the mixed number representation of 171/144.

The below work with steps provide the detailed information about how to convert fraction 171/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 171/144

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 171/144.

step 2 The numerator is greater than the denominator of the fraction 171/144, so write the given fraction in the expression form in terms of denominator as like the below:
= 171/144
= 144 + 27/144

step 3 Make the above expression as individual fractions:
= 144/144 + 27/144

step 4 Simplify the above expression:
= 1 x 144/144 + 27/144
= 1 + 27/144
= 1 + 3 x 9/16 x 9
= 1 + 3/16
1 + 3/16 can be written as a mixed number 1 ³/₁₆.


step 5 Find the decimal equivalent for the fractional part 3/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (3/16 x 625/625)
= 1 + 1875/10000

step 6 Simplify the above expression further:
= 1 + 0.1875
= 1.1875
171/144 = 1.1875

Hence,
171/144 as a decimal is 1.1875
171/144 as a mixed number is 1 ³/₁₆