173/30 as a Decimal and Mixed Number

173/30 as a decimal and mixed number expansion provides the detailed information about what is 173/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

173/30 as a Decimal
173/30 = 5.7667
Hence,
173/30 as a decimal equals to 5.7667
where,
173/30 is a given fraction,
The decimal expansion of 173/30 is 5.7667

173/30 as a Mixed Number
173/30 = (150 + 23)/30
= 150/30 + 23/30
= 5 + 23/30
= 5 23/30
173/30 = 5 23/30

Hence,
173/30 as a mixed number is 5 ²³/₃₀
where,
173/30 is a given fraction,
5 ²³/₃₀ is the mixed number representation of 173/30.

The below work with steps provide the detailed information about how to convert fraction 173/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 173/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 173/30.

step 2 The numerator is greater than the denominator of the fraction 173/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 173/30
= 150 + 23/30
= (5 x 30) + 23/30

step 3 Make the above expression as individual fractions:
= (5 x 30)/30 + 23/30

step 4 Simplify the above expression:
= 5 x 30/30 + 23/30
= 5 + 23/30
5 + 23/30 can be written as a mixed number 5 ²³/₃₀.


step 5 Find the decimal equivalent for the fractional part 23/30 in the above expression:
= 5 + 0.7667
= 5.7667
173/30 = 5.7667

Hence,
173/30 as a decimal is 5.7667
173/30 as a mixed number is 5 ²³/₃₀