272/42 as a Decimal and Mixed Number

272/42 as a decimal and mixed number expansion provides the detailed information about what is 272/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

272/42 as a Decimal
272/42 = 6.4762
Hence,
272/42 as a decimal equals to 6.4762
where,
272/42 is a given fraction,
The decimal expansion of 272/42 is 6.4762

272/42 as a Mixed Number
272/42 = (252 + 20)/42
= 252/42 + 20/42
= 6 + 20/42
= 6 20/42
272/42 = 6 20/42

Hence,
272/42 as a mixed number is 6 ²⁰/₄₂
where,
272/42 is a given fraction,
6 ²⁰/₄₂ is the mixed number representation of 272/42.

The below work with steps provide the detailed information about how to convert fraction 272/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 272/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 272/42.

step 2 The numerator is greater than the denominator of the fraction 272/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 272/42
= 252 + 20/42
= (6 x 42) + 20/42

step 3 Make the above expression as individual fractions:
= (6 x 42)/42 + 20/42

step 4 Simplify the above expression:
= 6 x 42/42 + 20/42
= 6 + 20/42
= 6 + 10 x 2/21 x 2
= 6 + 10/21
6 + 10/21 can be written as a mixed number 6 ¹⁰/₂₁.


step 5 Find the decimal equivalent for the fractional part 10/21 in the above expression:
= 6 + 0.4762
= 6.4762
272/42 = 6.4762

Hence,
272/42 as a decimal is 6.4762
272/42 as a mixed number is 6 ¹⁰/₂₁