153/24 as a Decimal and Mixed Number
153/24 as a decimal and mixed number expansion provides the detailed information about what is 153/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
153/24 as a Decimal
153/24 = 6.375
Hence,
153/24 as a decimal equals to 6.375
where,
153/24 is a given fraction,
The decimal expansion of 153/24 is 6.375
153/24 as a Mixed Number
153/24 = (144 + 9)/24
= 144/24 + 9/24
= 6 + 9/24
= 6 9/24
153/24 = 6 9/24
Hence,
153/24 as a mixed number is 6 9/24
where,
153/24 is a given fraction,
6 9/24 is the mixed number representation of 153/24.
How-to: 153/24 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 153/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 153/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 153/24.
step 2 The numerator is greater than the denominator of the fraction 153/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 153/24
= 144 + 9/24
= (6 x 24) + 9/24
step 3 Make the above expression as individual fractions:
= (6 x 24)/24 + 9/24
step 4 Simplify the above expression:
= 6 x 24/24 + 9/24
= 6 + 9/24
= 6 + 3 x 3/8 x 3
= 6 + 3/8
6 + 3/8 can be written as a mixed number 6 3/8.
step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 6 + (3/8 x 125/125)
= 6 + 375/1000
step 6 Simplify the above expression further:
= 6 + 0.375
= 6.375
153/24 = 6.375
Hence,
153/24 as a decimal is 6.375
153/24 as a mixed number is 6 3/8