162/24 as a Decimal and Mixed Number

162/24 as a decimal and mixed number expansion provides the detailed information about what is 162/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

162/24 as a Decimal
162/24 = 6.75
Hence,
162/24 as a decimal equals to 6.75
where,
162/24 is a given fraction,
The decimal expansion of 162/24 is 6.75

162/24 as a Mixed Number
162/24 = (144 + 18)/24
= 144/24 + 18/24
= 6 + 18/24
= 6 18/24
162/24 = 6 18/24

Hence,
162/24 as a mixed number is 6 ¹⁸/₂₄
where,
162/24 is a given fraction,
6 ¹⁸/₂₄ is the mixed number representation of 162/24.

The below work with steps provide the detailed information about how to convert fraction 162/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 162/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 162/24.

step 2 The numerator is greater than the denominator of the fraction 162/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 162/24
= 144 + 18/24
= (6 x 24) + 18/24

step 3 Make the above expression as individual fractions:
= (6 x 24)/24 + 18/24

step 4 Simplify the above expression:
= 6 x 24/24 + 18/24
= 6 + 18/24
= 6 + 3 x 6/4 x 6
= 6 + 3/4
6 + 3/4 can be written as a mixed number 6 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 6 + (3/4 x 25/25)
= 6 + 75/100

step 6 Simplify the above expression further:
= 6 + 0.75
= 6.75
162/24 = 6.75

Hence,
162/24 as a decimal is 6.75
162/24 as a mixed number is 6 ³/₄