189/13 as a Decimal and Mixed Number

189/13 as a decimal and mixed number expansion provides the detailed information about what is 189/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

189/13 as a Decimal
189/13 = 14.5385
Hence,
189/13 as a decimal equals to 14.5385
where,
189/13 is a given fraction,
The decimal expansion of 189/13 is 14.5385

189/13 as a Mixed Number
189/13 = (182 + 7)/13
= 182/13 + 7/13
= 14 + 7/13
= 14 7/13
189/13 = 14 7/13

Hence,
189/13 as a mixed number is 14 ⁷/₁₃
where,
189/13 is a given fraction,
14 ⁷/₁₃ is the mixed number representation of 189/13.

The below work with steps provide the detailed information about how to convert fraction 189/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 189/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 189/13.

step 2 The numerator is greater than the denominator of the fraction 189/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 189/13
= 182 + 7/13
= (14 x 13) + 7/13

step 3 Make the above expression as individual fractions:
= (14 x 13)/13 + 7/13

step 4 Simplify the above expression:
= 14 x 13/13 + 7/13
= 14 + 7/13
14 + 7/13 can be written as a mixed number 14 ⁷/₁₃.


step 5 Find the decimal equivalent for the fractional part 7/13 in the above expression:
= 14 + 0.5385
= 14.5385
189/13 = 14.5385

Hence,
189/13 as a decimal is 14.5385
189/13 as a mixed number is 14 ⁷/₁₃