272/38 as a Decimal and Mixed Number

272/38 as a decimal and mixed number expansion provides the detailed information about what is 272/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

272/38 as a Decimal
272/38 = 7.1579
Hence,
272/38 as a decimal equals to 7.1579
where,
272/38 is a given fraction,
The decimal expansion of 272/38 is 7.1579

272/38 as a Mixed Number
272/38 = (266 + 6)/38
= 266/38 + 6/38
= 7 + 6/38
= 7 6/38
272/38 = 7 6/38

Hence,
272/38 as a mixed number is 7 ⁶/₃₈
where,
272/38 is a given fraction,
7 ⁶/₃₈ is the mixed number representation of 272/38.

The below work with steps provide the detailed information about how to convert fraction 272/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 272/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 272/38.

step 2 The numerator is greater than the denominator of the fraction 272/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 272/38
= 266 + 6/38
= (7 x 38) + 6/38

step 3 Make the above expression as individual fractions:
= (7 x 38)/38 + 6/38

step 4 Simplify the above expression:
= 7 x 38/38 + 6/38
= 7 + 6/38
= 7 + 3 x 2/19 x 2
= 7 + 3/19
7 + 3/19 can be written as a mixed number 7 ³/₁₉.


step 5 Find the decimal equivalent for the fractional part 3/19 in the above expression:
= 7 + 0.1579
= 7.1579
272/38 = 7.1579

Hence,
272/38 as a decimal is 7.1579
272/38 as a mixed number is 7 ³/₁₉