174/7 as a Decimal and Mixed Number

174/7 as a decimal and mixed number expansion provides the detailed information about what is 174/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

174/7 as a Decimal
174/7 = 24.8571
Hence,
174/7 as a decimal equals to 24.8571
where,
174/7 is a given fraction,
The decimal expansion of 174/7 is 24.8571

174/7 as a Mixed Number
174/7 = (168 + 6)/7
= 168/7 + 6/7
= 24 + 6/7
= 24 6/7
174/7 = 24 6/7

Hence,
174/7 as a mixed number is 24 ⁶/₇
where,
174/7 is a given fraction,
24 ⁶/₇ is the mixed number representation of 174/7.

The below work with steps provide the detailed information about how to convert fraction 174/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 174/7

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 174/7.

step 2 The numerator is greater than the denominator of the fraction 174/7, so write the given fraction in the expression form in terms of denominator as like the below:
= 174/7
= 168 + 6/7
= (24 x 7) + 6/7

step 3 Make the above expression as individual fractions:
= (24 x 7)/7 + 6/7

step 4 Simplify the above expression:
= 24 x 7/7 + 6/7
= 24 + 6/7
24 + 6/7 can be written as a mixed number 24 ⁶/₇.


step 5 Find the decimal equivalent for the fractional part 6/7 in the above expression:
= 24 + 0.8571
= 24.8571
174/7 = 24.8571

Hence,
174/7 as a decimal is 24.8571
174/7 as a mixed number is 24 ⁶/₇