167/30 as a Decimal and Mixed Number

167/30 as a decimal and mixed number expansion provides the detailed information about what is 167/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

167/30 as a Decimal
167/30 = 5.5667
Hence,
167/30 as a decimal equals to 5.5667
where,
167/30 is a given fraction,
The decimal expansion of 167/30 is 5.5667

167/30 as a Mixed Number
167/30 = (150 + 17)/30
= 150/30 + 17/30
= 5 + 17/30
= 5 17/30
167/30 = 5 17/30

Hence,
167/30 as a mixed number is 5 ¹⁷/₃₀
where,
167/30 is a given fraction,
5 ¹⁷/₃₀ is the mixed number representation of 167/30.

The below work with steps provide the detailed information about how to convert fraction 167/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 167/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 167/30.

step 2 The numerator is greater than the denominator of the fraction 167/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 167/30
= 150 + 17/30
= (5 x 30) + 17/30

step 3 Make the above expression as individual fractions:
= (5 x 30)/30 + 17/30

step 4 Simplify the above expression:
= 5 x 30/30 + 17/30
= 5 + 17/30
5 + 17/30 can be written as a mixed number 5 ¹⁷/₃₀.


step 5 Find the decimal equivalent for the fractional part 17/30 in the above expression:
= 5 + 0.5667
= 5.5667
167/30 = 5.5667

Hence,
167/30 as a decimal is 5.5667
167/30 as a mixed number is 5 ¹⁷/₃₀