20/13 as a Decimal and Mixed Number

20/13 as a decimal and mixed number expansion provides the detailed information about what is 20/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

20/13 as a Decimal
20/13 = 1.5385
Hence,
20/13 as a decimal equals to 1.5385
where,
20/13 is a given fraction,
The decimal expansion of 20/13 is 1.5385

20/13 as a Mixed Number
20/13 = (13 + 7)/13
= 13/13 + 7/13
= 1 + 7/13
= 1 7/13
20/13 = 1 7/13

Hence,
20/13 as a mixed number is 1 ⁷/₁₃
where,
20/13 is a given fraction,
1 ⁷/₁₃ is the mixed number representation of 20/13.

The below work with steps provide the detailed information about how to convert fraction 20/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 20/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 20/13.

step 2 The numerator is greater than the denominator of the fraction 20/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 20/13
= 13 + 7/13

step 3 Make the above expression as individual fractions:
= 13/13 + 7/13

step 4 Simplify the above expression:
= 1 x 13/13 + 7/13
= 1 + 7/13
1 + 7/13 can be written as a mixed number 1 ⁷/₁₃.


step 5 Find the decimal equivalent for the fractional part 7/13 in the above expression:
= 1 + 0.5385
= 1.5385
20/13 = 1.5385

Hence,
20/13 as a decimal is 1.5385
20/13 as a mixed number is 1 ⁷/₁₃