171/150 as a Decimal and Mixed Number

171/150 as a decimal and mixed number expansion provides the detailed information about what is 171/150 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

171/150 as a Decimal
171/150 = 1.14
Hence,
171/150 as a decimal equals to 1.14
where,
171/150 is a given fraction,
The decimal expansion of 171/150 is 1.14

171/150 as a Mixed Number
171/150 = (150 + 21)/150
= 150/150 + 21/150
= 1 + 21/150
= 1 21/150
171/150 = 1 21/150

Hence,
171/150 as a mixed number is 1 ²¹/₁₅₀
where,
171/150 is a given fraction,
1 ²¹/₁₅₀ is the mixed number representation of 171/150.

The below work with steps provide the detailed information about how to convert fraction 171/150 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 171/150

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 171/150.

step 2 The numerator is greater than the denominator of the fraction 171/150, so write the given fraction in the expression form in terms of denominator as like the below:
= 171/150
= 150 + 21/150

step 3 Make the above expression as individual fractions:
= 150/150 + 21/150

step 4 Simplify the above expression:
= 1 x 150/150 + 21/150
= 1 + 21/150
= 1 + 7 x 3/50 x 3
= 1 + 7/50
1 + 7/50 can be written as a mixed number 1 ⁷/₅₀.


step 5 Find the decimal equivalent for the fractional part 7/50 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 1 + (7/50 x 2/2)
= 1 + 14/100

step 6 Simplify the above expression further:
= 1 + 0.14
= 1.14
171/150 = 1.14

Hence,
171/150 as a decimal is 1.14
171/150 as a mixed number is 1 ⁷/₅₀