174/24 as a Decimal and Mixed Number
174/24 as a decimal and mixed number expansion provides the detailed information about what is 174/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
174/24 as a Decimal
174/24 = 7.25
Hence,
174/24 as a decimal equals to 7.25
where,
174/24 is a given fraction,
The decimal expansion of 174/24 is 7.25
174/24 as a Mixed Number
174/24 = (168 + 6)/24
= 168/24 + 6/24
= 7 + 6/24
= 7 6/24
174/24 = 7 6/24
Hence,
174/24 as a mixed number is 7 6/24
where,
174/24 is a given fraction,
7 6/24 is the mixed number representation of 174/24.
How-to: 174/24 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 174/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 174/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 174/24.
step 2 The numerator is greater than the denominator of the fraction 174/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 174/24
= 168 + 6/24
= (7 x 24) + 6/24
step 3 Make the above expression as individual fractions:
= (7 x 24)/24 + 6/24
step 4 Simplify the above expression:
= 7 x 24/24 + 6/24
= 7 + 6/24
= 7 + 1 x 6/4 x 6
= 7 + 1/4
7 + 1/4 can be written as a mixed number 7 1/4.
step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 7 + (1/4 x 25/25)
= 7 + 25/100
step 6 Simplify the above expression further:
= 7 + 0.25
= 7.25
174/24 = 7.25
Hence,
174/24 as a decimal is 7.25
174/24 as a mixed number is 7 1/4