180/24 as a Decimal and Mixed Number

180/24 as a decimal and mixed number expansion provides the detailed information about what is 180/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/24 as a Decimal
180/24 = 7.5
Hence,
180/24 as a decimal equals to 7.5
where,
180/24 is a given fraction,
The decimal expansion of 180/24 is 7.5

180/24 as a Mixed Number
180/24 = (168 + 12)/24
= 168/24 + 12/24
= 7 + 12/24
= 7 12/24
180/24 = 7 12/24

Hence,
180/24 as a mixed number is 7 ¹²/₂₄
where,
180/24 is a given fraction,
7 ¹²/₂₄ is the mixed number representation of 180/24.

The below work with steps provide the detailed information about how to convert fraction 180/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/24.

step 2 The numerator is greater than the denominator of the fraction 180/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/24
= 168 + 12/24
= (7 x 24) + 12/24

step 3 Make the above expression as individual fractions:
= (7 x 24)/24 + 12/24

step 4 Simplify the above expression:
= 7 x 24/24 + 12/24
= 7 + 12/24
= 7 + 1 x 12/2 x 12
= 7 + 1/2
7 + 1/2 can be written as a mixed number 7 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 7 + (1/2 x 5/5)
= 7 + 5/10

step 6 Simplify the above expression further:
= 7 + 0.5
= 7.5
180/24 = 7.5

Hence,
180/24 as a decimal is 7.5
180/24 as a mixed number is 7 ¹/₂