144/45 as a Decimal and Mixed Number

144/45 as a decimal and mixed number expansion provides the detailed information about what is 144/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

144/45 as a Decimal
144/45 = 3.2
Hence,
144/45 as a decimal equals to 3.2
where,
144/45 is a given fraction,
The decimal expansion of 144/45 is 3.2

144/45 as a Mixed Number
144/45 = (135 + 9)/45
= 135/45 + 9/45
= 3 + 9/45
= 3 9/45
144/45 = 3 9/45

Hence,
144/45 as a mixed number is 3 ⁹/₄₅
where,
144/45 is a given fraction,
3 ⁹/₄₅ is the mixed number representation of 144/45.

The below work with steps provide the detailed information about how to convert fraction 144/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 144/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 144/45.

step 2 The numerator is greater than the denominator of the fraction 144/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 144/45
= 135 + 9/45
= (3 x 45) + 9/45

step 3 Make the above expression as individual fractions:
= (3 x 45)/45 + 9/45

step 4 Simplify the above expression:
= 3 x 45/45 + 9/45
= 3 + 9/45
= 3 + 1 x 9/5 x 9
= 3 + 1/5
3 + 1/5 can be written as a mixed number 3 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 3 + (1/5 x 2/2)
= 3 + 2/10

step 6 Simplify the above expression further:
= 3 + 0.2
= 3.2
144/45 = 3.2

Hence,
144/45 as a decimal is 3.2
144/45 as a mixed number is 3 ¹/₅