300/272 as a Decimal and Mixed Number

300/272 as a decimal and mixed number expansion provides the detailed information about what is 300/272 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/272 as a Decimal
300/272 = 1.1029
Hence,
300/272 as a decimal equals to 1.1029
where,
300/272 is a given fraction,
The decimal expansion of 300/272 is 1.1029

300/272 as a Mixed Number
300/272 = (272 + 28)/272
= 272/272 + 28/272
= 1 + 28/272
= 1 28/272
300/272 = 1 28/272

Hence,
300/272 as a mixed number is 1 ²⁸/₂₇₂
where,
300/272 is a given fraction,
1 ²⁸/₂₇₂ is the mixed number representation of 300/272.

The below work with steps provide the detailed information about how to convert fraction 300/272 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/272

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/272.

step 2 The numerator is greater than the denominator of the fraction 300/272, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/272
= 272 + 28/272

step 3 Make the above expression as individual fractions:
= 272/272 + 28/272

step 4 Simplify the above expression:
= 1 x 272/272 + 28/272
= 1 + 28/272
= 1 + 7 x 4/68 x 4
= 1 + 7/68
1 + 7/68 can be written as a mixed number 1 ⁷/₆₈.


step 5 Find the decimal equivalent for the fractional part 7/68 in the above expression:
= 1 + 0.1029
= 1.1029
300/272 = 1.1029

Hence,
300/272 as a decimal is 1.1029
300/272 as a mixed number is 1 ⁷/₆₈