238/30 as a Decimal and Mixed Number

238/30 as a decimal and mixed number expansion provides the detailed information about what is 238/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

238/30 as a Decimal
238/30 = 7.9333
Hence,
238/30 as a decimal equals to 7.9333
where,
238/30 is a given fraction,
The decimal expansion of 238/30 is 7.9333

238/30 as a Mixed Number
238/30 = (210 + 28)/30
= 210/30 + 28/30
= 7 + 28/30
= 7 28/30
238/30 = 7 28/30

Hence,
238/30 as a mixed number is 7 ²⁸/₃₀
where,
238/30 is a given fraction,
7 ²⁸/₃₀ is the mixed number representation of 238/30.

The below work with steps provide the detailed information about how to convert fraction 238/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 238/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 238/30.

step 2 The numerator is greater than the denominator of the fraction 238/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 238/30
= 210 + 28/30
= (7 x 30) + 28/30

step 3 Make the above expression as individual fractions:
= (7 x 30)/30 + 28/30

step 4 Simplify the above expression:
= 7 x 30/30 + 28/30
= 7 + 28/30
= 7 + 14 x 2/15 x 2
= 7 + 14/15
7 + 14/15 can be written as a mixed number 7 ¹⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 14/15 in the above expression:
= 7 + 0.9333
= 7.9333
238/30 = 7.9333

Hence,
238/30 as a decimal is 7.9333
238/30 as a mixed number is 7 ¹⁴/₁₅