300/271 as a Decimal and Mixed Number

300/271 as a decimal and mixed number expansion provides the detailed information about what is 300/271 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/271 as a Decimal
300/271 = 1.107
Hence,
300/271 as a decimal equals to 1.107
where,
300/271 is a given fraction,
The decimal expansion of 300/271 is 1.107

300/271 as a Mixed Number
300/271 = (271 + 29)/271
= 271/271 + 29/271
= 1 + 29/271
= 1 29/271
300/271 = 1 29/271

Hence,
300/271 as a mixed number is 1 ²⁹/₂₇₁
where,
300/271 is a given fraction,
1 ²⁹/₂₇₁ is the mixed number representation of 300/271.

The below work with steps provide the detailed information about how to convert fraction 300/271 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/271

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/271.

step 2 The numerator is greater than the denominator of the fraction 300/271, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/271
= 271 + 29/271

step 3 Make the above expression as individual fractions:
= 271/271 + 29/271

step 4 Simplify the above expression:
= 1 x 271/271 + 29/271
= 1 + 29/271
1 + 29/271 can be written as a mixed number 1 ²⁹/₂₇₁.


step 5 Find the decimal equivalent for the fractional part 29/271 in the above expression:
= 1 + 0.107
= 1.107
300/271 = 1.107

Hence,
300/271 as a decimal is 1.107
300/271 as a mixed number is 1 ²⁹/₂₇₁