272/40 as a Decimal and Mixed Number

272/40 as a decimal and mixed number expansion provides the detailed information about what is 272/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

272/40 as a Decimal
272/40 = 6.8
Hence,
272/40 as a decimal equals to 6.8
where,
272/40 is a given fraction,
The decimal expansion of 272/40 is 6.8

272/40 as a Mixed Number
272/40 = (240 + 32)/40
= 240/40 + 32/40
= 6 + 32/40
= 6 32/40
272/40 = 6 32/40

Hence,
272/40 as a mixed number is 6 ³²/₄₀
where,
272/40 is a given fraction,
6 ³²/₄₀ is the mixed number representation of 272/40.

The below work with steps provide the detailed information about how to convert fraction 272/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 272/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 272/40.

step 2 The numerator is greater than the denominator of the fraction 272/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 272/40
= 240 + 32/40
= (6 x 40) + 32/40

step 3 Make the above expression as individual fractions:
= (6 x 40)/40 + 32/40

step 4 Simplify the above expression:
= 6 x 40/40 + 32/40
= 6 + 32/40
= 6 + 4 x 8/5 x 8
= 6 + 4/5
6 + 4/5 can be written as a mixed number 6 ⁴/₅.


step 5 Find the decimal equivalent for the fractional part 4/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 6 + (4/5 x 2/2)
= 6 + 8/10

step 6 Simplify the above expression further:
= 6 + 0.8
= 6.8
272/40 = 6.8

Hence,
272/40 as a decimal is 6.8
272/40 as a mixed number is 6 ⁴/₅