166/24 as a Decimal and Mixed Number

166/24 as a decimal and mixed number expansion provides the detailed information about what is 166/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

166/24 as a Decimal
166/24 = 6.9167
Hence,
166/24 as a decimal equals to 6.9167
where,
166/24 is a given fraction,
The decimal expansion of 166/24 is 6.9167

166/24 as a Mixed Number
166/24 = (144 + 22)/24
= 144/24 + 22/24
= 6 + 22/24
= 6 22/24
166/24 = 6 22/24

Hence,
166/24 as a mixed number is 6 ²²/₂₄
where,
166/24 is a given fraction,
6 ²²/₂₄ is the mixed number representation of 166/24.

The below work with steps provide the detailed information about how to convert fraction 166/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 166/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 166/24.

step 2 The numerator is greater than the denominator of the fraction 166/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 166/24
= 144 + 22/24
= (6 x 24) + 22/24

step 3 Make the above expression as individual fractions:
= (6 x 24)/24 + 22/24

step 4 Simplify the above expression:
= 6 x 24/24 + 22/24
= 6 + 22/24
= 6 + 11 x 2/12 x 2
= 6 + 11/12
6 + 11/12 can be written as a mixed number 6 ¹¹/₁₂.


step 5 Find the decimal equivalent for the fractional part 11/12 in the above expression:
= 6 + 0.9167
= 6.9167
166/24 = 6.9167

Hence,
166/24 as a decimal is 6.9167
166/24 as a mixed number is 6 ¹¹/₁₂