145/13 as a Decimal and Mixed Number

145/13 as a decimal and mixed number expansion provides the detailed information about what is 145/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

145/13 as a Decimal
145/13 = 11.1538
Hence,
145/13 as a decimal equals to 11.1538
where,
145/13 is a given fraction,
The decimal expansion of 145/13 is 11.1538

145/13 as a Mixed Number
145/13 = (143 + 2)/13
= 143/13 + 2/13
= 11 + 2/13
= 11 2/13
145/13 = 11 2/13

Hence,
145/13 as a mixed number is 11 ²/₁₃
where,
145/13 is a given fraction,
11 ²/₁₃ is the mixed number representation of 145/13.

The below work with steps provide the detailed information about how to convert fraction 145/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 145/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 145/13.

step 2 The numerator is greater than the denominator of the fraction 145/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 145/13
= 143 + 2/13
= (11 x 13) + 2/13

step 3 Make the above expression as individual fractions:
= (11 x 13)/13 + 2/13

step 4 Simplify the above expression:
= 11 x 13/13 + 2/13
= 11 + 2/13
11 + 2/13 can be written as a mixed number 11 ²/₁₃.


step 5 Find the decimal equivalent for the fractional part 2/13 in the above expression:
= 11 + 0.1538
= 11.1538
145/13 = 11.1538

Hence,
145/13 as a decimal is 11.1538
145/13 as a mixed number is 11 ²/₁₃