304/272 as a Decimal and Mixed Number

304/272 as a decimal and mixed number expansion provides the detailed information about what is 304/272 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/272 as a Decimal
304/272 = 1.1176
Hence,
304/272 as a decimal equals to 1.1176
where,
304/272 is a given fraction,
The decimal expansion of 304/272 is 1.1176

304/272 as a Mixed Number
304/272 = (272 + 32)/272
= 272/272 + 32/272
= 1 + 32/272
= 1 32/272
304/272 = 1 32/272

Hence,
304/272 as a mixed number is 1 ³²/₂₇₂
where,
304/272 is a given fraction,
1 ³²/₂₇₂ is the mixed number representation of 304/272.

The below work with steps provide the detailed information about how to convert fraction 304/272 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/272

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/272.

step 2 The numerator is greater than the denominator of the fraction 304/272, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/272
= 272 + 32/272

step 3 Make the above expression as individual fractions:
= 272/272 + 32/272

step 4 Simplify the above expression:
= 1 x 272/272 + 32/272
= 1 + 32/272
= 1 + 2 x 16/17 x 16
= 1 + 2/17
1 + 2/17 can be written as a mixed number 1 ²/₁₇.


step 5 Find the decimal equivalent for the fractional part 2/17 in the above expression:
= 1 + 0.1176
= 1.1176
304/272 = 1.1176

Hence,
304/272 as a decimal is 1.1176
304/272 as a mixed number is 1 ²/₁₇