272/46 as a Decimal and Mixed Number

272/46 as a decimal and mixed number expansion provides the detailed information about what is 272/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

272/46 as a Decimal
272/46 = 5.913
Hence,
272/46 as a decimal equals to 5.913
where,
272/46 is a given fraction,
The decimal expansion of 272/46 is 5.913

272/46 as a Mixed Number
272/46 = (230 + 42)/46
= 230/46 + 42/46
= 5 + 42/46
= 5 42/46
272/46 = 5 42/46

Hence,
272/46 as a mixed number is 5 ⁴²/₄₆
where,
272/46 is a given fraction,
5 ⁴²/₄₆ is the mixed number representation of 272/46.

The below work with steps provide the detailed information about how to convert fraction 272/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 272/46

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 272/46.

step 2 The numerator is greater than the denominator of the fraction 272/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 272/46
= 230 + 42/46
= (5 x 46) + 42/46

step 3 Make the above expression as individual fractions:
= (5 x 46)/46 + 42/46

step 4 Simplify the above expression:
= 5 x 46/46 + 42/46
= 5 + 42/46
= 5 + 21 x 2/23 x 2
= 5 + 21/23
5 + 21/23 can be written as a mixed number 5 ²¹/₂₃.


step 5 Find the decimal equivalent for the fractional part 21/23 in the above expression:
= 5 + 0.913
= 5.913
272/46 = 5.913

Hence,
272/46 as a decimal is 5.913
272/46 as a mixed number is 5 ²¹/₂₃