171/45 as a Decimal and Mixed Number

171/45 as a decimal and mixed number expansion provides the detailed information about what is 171/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

171/45 as a Decimal
171/45 = 3.8
Hence,
171/45 as a decimal equals to 3.8
where,
171/45 is a given fraction,
The decimal expansion of 171/45 is 3.8

171/45 as a Mixed Number
171/45 = (135 + 36)/45
= 135/45 + 36/45
= 3 + 36/45
= 3 36/45
171/45 = 3 36/45

Hence,
171/45 as a mixed number is 3 ³⁶/₄₅
where,
171/45 is a given fraction,
3 ³⁶/₄₅ is the mixed number representation of 171/45.

The below work with steps provide the detailed information about how to convert fraction 171/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 171/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 171/45.

step 2 The numerator is greater than the denominator of the fraction 171/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 171/45
= 135 + 36/45
= (3 x 45) + 36/45

step 3 Make the above expression as individual fractions:
= (3 x 45)/45 + 36/45

step 4 Simplify the above expression:
= 3 x 45/45 + 36/45
= 3 + 36/45
= 3 + 4 x 9/5 x 9
= 3 + 4/5
3 + 4/5 can be written as a mixed number 3 ⁴/₅.


step 5 Find the decimal equivalent for the fractional part 4/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 3 + (4/5 x 2/2)
= 3 + 8/10

step 6 Simplify the above expression further:
= 3 + 0.8
= 3.8
171/45 = 3.8

Hence,
171/45 as a decimal is 3.8
171/45 as a mixed number is 3 ⁴/₅