150/13 as a Decimal and Mixed Number

150/13 as a decimal and mixed number expansion provides the detailed information about what is 150/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/13 as a Decimal
150/13 = 11.5385
Hence,
150/13 as a decimal equals to 11.5385
where,
150/13 is a given fraction,
The decimal expansion of 150/13 is 11.5385

150/13 as a Mixed Number
150/13 = (143 + 7)/13
= 143/13 + 7/13
= 11 + 7/13
= 11 7/13
150/13 = 11 7/13

Hence,
150/13 as a mixed number is 11 ⁷/₁₃
where,
150/13 is a given fraction,
11 ⁷/₁₃ is the mixed number representation of 150/13.

The below work with steps provide the detailed information about how to convert fraction 150/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/13.

step 2 The numerator is greater than the denominator of the fraction 150/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/13
= 143 + 7/13
= (11 x 13) + 7/13

step 3 Make the above expression as individual fractions:
= (11 x 13)/13 + 7/13

step 4 Simplify the above expression:
= 11 x 13/13 + 7/13
= 11 + 7/13
11 + 7/13 can be written as a mixed number 11 ⁷/₁₃.


step 5 Find the decimal equivalent for the fractional part 7/13 in the above expression:
= 11 + 0.5385
= 11.5385
150/13 = 11.5385

Hence,
150/13 as a decimal is 11.5385
150/13 as a mixed number is 11 ⁷/₁₃