160/24 as a Decimal and Mixed Number

160/24 as a decimal and mixed number expansion provides the detailed information about what is 160/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/24 as a Decimal
160/24 = 6.6667
Hence,
160/24 as a decimal equals to 6.6667
where,
160/24 is a given fraction,
The decimal expansion of 160/24 is 6.6667

160/24 as a Mixed Number
160/24 = (144 + 16)/24
= 144/24 + 16/24
= 6 + 16/24
= 6 16/24
160/24 = 6 16/24

Hence,
160/24 as a mixed number is 6 ¹⁶/₂₄
where,
160/24 is a given fraction,
6 ¹⁶/₂₄ is the mixed number representation of 160/24.

The below work with steps provide the detailed information about how to convert fraction 160/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/24.

step 2 The numerator is greater than the denominator of the fraction 160/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/24
= 144 + 16/24
= (6 x 24) + 16/24

step 3 Make the above expression as individual fractions:
= (6 x 24)/24 + 16/24

step 4 Simplify the above expression:
= 6 x 24/24 + 16/24
= 6 + 16/24
= 6 + 2 x 8/3 x 8
= 6 + 2/3
6 + 2/3 can be written as a mixed number 6 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 6 + 0.6667
= 6.6667
160/24 = 6.6667

Hence,
160/24 as a decimal is 6.6667
160/24 as a mixed number is 6 ²/₃