144/40 as a Decimal and Mixed Number

144/40 as a decimal and mixed number expansion provides the detailed information about what is 144/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

144/40 as a Decimal
144/40 = 3.6
Hence,
144/40 as a decimal equals to 3.6
where,
144/40 is a given fraction,
The decimal expansion of 144/40 is 3.6

144/40 as a Mixed Number
144/40 = (120 + 24)/40
= 120/40 + 24/40
= 3 + 24/40
= 3 24/40
144/40 = 3 24/40

Hence,
144/40 as a mixed number is 3 ²⁴/₄₀
where,
144/40 is a given fraction,
3 ²⁴/₄₀ is the mixed number representation of 144/40.

The below work with steps provide the detailed information about how to convert fraction 144/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 144/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 144/40.

step 2 The numerator is greater than the denominator of the fraction 144/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 144/40
= 120 + 24/40
= (3 x 40) + 24/40

step 3 Make the above expression as individual fractions:
= (3 x 40)/40 + 24/40

step 4 Simplify the above expression:
= 3 x 40/40 + 24/40
= 3 + 24/40
= 3 + 3 x 8/5 x 8
= 3 + 3/5
3 + 3/5 can be written as a mixed number 3 ³/₅.


step 5 Find the decimal equivalent for the fractional part 3/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 3 + (3/5 x 2/2)
= 3 + 6/10

step 6 Simplify the above expression further:
= 3 + 0.6
= 3.6
144/40 = 3.6

Hence,
144/40 as a decimal is 3.6
144/40 as a mixed number is 3 ³/₅