144/15 as a decimal and mixed number expansion provides the detailed information about what is 144/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
144/15 as a Decimal
144/15 = 9.6
Hence,
144/15 as a decimal equals to 9.6
where,
144/15 is a given fraction,
The decimal expansion of 144/15 is 9.6
144/15 as a Mixed Number
144/15 = (135 + 9)/15
= 135/15 + 9/15
= 9 + 9/15
= 9 9/15
144/15 = 9 9/15
Hence,
144/15 as a mixed number is 9 9/15
where,
144/15 is a given fraction,
9 9/15 is the mixed number representation of 144/15.
The below work with steps provide the detailed information about how to convert fraction 144/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 144/15
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 144/15.
step 2 The numerator is greater than the denominator of the fraction 144/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 144/15
= 135 + 9/15
= (9 x 15) + 9/15
step 3 Make the above expression as individual fractions:
= (9 x 15)/15 + 9/15
step 4 Simplify the above expression:
= 9 x 15/15 + 9/15
= 9 + 9/15
= 9 + 3 x 3/5 x 3
= 9 + 3/5
9 + 3/5 can be written as a mixed number 9 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:
= 9 + (3/5 x 2/2)
= 9 + 6/10
step 6 Simplify the above expression further:
= 9 + 0.6
= 9.6
144/15 = 9.6
Hence,
144/15 as a decimal is 9.6
144/15 as a mixed number is 9 3/5