137/30 as a Decimal and Mixed Number

137/30 as a decimal and mixed number expansion provides the detailed information about what is 137/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

137/30 as a Decimal
137/30 = 4.5667
Hence,
137/30 as a decimal equals to 4.5667
where,
137/30 is a given fraction,
The decimal expansion of 137/30 is 4.5667

137/30 as a Mixed Number
137/30 = (120 + 17)/30
= 120/30 + 17/30
= 4 + 17/30
= 4 17/30
137/30 = 4 17/30

Hence,
137/30 as a mixed number is 4 ¹⁷/₃₀
where,
137/30 is a given fraction,
4 ¹⁷/₃₀ is the mixed number representation of 137/30.

The below work with steps provide the detailed information about how to convert fraction 137/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 137/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 137/30.

step 2 The numerator is greater than the denominator of the fraction 137/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 137/30
= 120 + 17/30
= (4 x 30) + 17/30

step 3 Make the above expression as individual fractions:
= (4 x 30)/30 + 17/30

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


step 5 Find the decimal equivalent for the fractional part 17/30 in the above expression:
= 4 + 0.5667
= 4.5667
137/30 = 4.5667

Hence,
137/30 as a decimal is 4.5667
137/30 as a mixed number is 4 ¹⁷/₃₀