270/13 as a Decimal and Mixed Number

270/13 as a decimal and mixed number expansion provides the detailed information about what is 270/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/13 as a Decimal
270/13 = 20.7692
Hence,
270/13 as a decimal equals to 20.7692
where,
270/13 is a given fraction,
The decimal expansion of 270/13 is 20.7692

270/13 as a Mixed Number
270/13 = (260 + 10)/13
= 260/13 + 10/13
= 20 + 10/13
= 20 10/13
270/13 = 20 10/13

Hence,
270/13 as a mixed number is 20 ¹⁰/₁₃
where,
270/13 is a given fraction,
20 ¹⁰/₁₃ is the mixed number representation of 270/13.

The below work with steps provide the detailed information about how to convert fraction 270/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/13.

step 2 The numerator is greater than the denominator of the fraction 270/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/13
= 260 + 10/13
= (20 x 13) + 10/13

step 3 Make the above expression as individual fractions:
= (20 x 13)/13 + 10/13

step 4 Simplify the above expression:
= 20 x 13/13 + 10/13
= 20 + 10/13
20 + 10/13 can be written as a mixed number 20 ¹⁰/₁₃.


step 5 Find the decimal equivalent for the fractional part 10/13 in the above expression:
= 20 + 0.7692
= 20.7692
270/13 = 20.7692

Hence,
270/13 as a decimal is 20.7692
270/13 as a mixed number is 20 ¹⁰/₁₃