174/8 as a Decimal and Mixed Number

174/8 as a decimal and mixed number expansion provides the detailed information about what is 174/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

174/8 as a Decimal
174/8 = 21.75
Hence,
174/8 as a decimal equals to 21.75
where,
174/8 is a given fraction,
The decimal expansion of 174/8 is 21.75

174/8 as a Mixed Number
174/8 = (168 + 6)/8
= 168/8 + 6/8
= 21 + 6/8
= 21 6/8
174/8 = 21 6/8

Hence,
174/8 as a mixed number is 21 ⁶/₈
where,
174/8 is a given fraction,
21 ⁶/₈ is the mixed number representation of 174/8.

The below work with steps provide the detailed information about how to convert fraction 174/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 174/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 174/8.

step 2 The numerator is greater than the denominator of the fraction 174/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 174/8
= 168 + 6/8
= (21 x 8) + 6/8

step 3 Make the above expression as individual fractions:
= (21 x 8)/8 + 6/8

step 4 Simplify the above expression:
= 21 x 8/8 + 6/8
= 21 + 6/8
= 21 + 3 x 2/4 x 2
= 21 + 3/4
21 + 3/4 can be written as a mixed number 21 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:
= 21 + (3/4 x 25/25)
= 21 + 75/100

step 6 Simplify the above expression further:
= 21 + 0.75
= 21.75
174/8 = 21.75

Hence,
174/8 as a decimal is 21.75
174/8 as a mixed number is 21 ³/₄