159/45 as a Decimal and Mixed Number

159/45 as a decimal and mixed number expansion provides the detailed information about what is 159/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

159/45 as a Decimal
159/45 = 3.5333
Hence,
159/45 as a decimal equals to 3.5333
where,
159/45 is a given fraction,
The decimal expansion of 159/45 is 3.5333

159/45 as a Mixed Number
159/45 = (135 + 24)/45
= 135/45 + 24/45
= 3 + 24/45
= 3 24/45
159/45 = 3 24/45

Hence,
159/45 as a mixed number is 3 ²⁴/₄₅
where,
159/45 is a given fraction,
3 ²⁴/₄₅ is the mixed number representation of 159/45.

The below work with steps provide the detailed information about how to convert fraction 159/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 159/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 159/45.

step 2 The numerator is greater than the denominator of the fraction 159/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 159/45
= 135 + 24/45
= (3 x 45) + 24/45

step 3 Make the above expression as individual fractions:
= (3 x 45)/45 + 24/45

step 4 Simplify the above expression:
= 3 x 45/45 + 24/45
= 3 + 24/45
= 3 + 8 x 3/15 x 3
= 3 + 8/15
3 + 8/15 can be written as a mixed number 3 ⁸/₁₅.


step 5 Find the decimal equivalent for the fractional part 8/15 in the above expression:
= 3 + 0.5333
= 3.5333
159/45 = 3.5333

Hence,
159/45 as a decimal is 3.5333
159/45 as a mixed number is 3 ⁸/₁₅