189/15 as a Decimal and Mixed Number

189/15 as a decimal and mixed number expansion provides the detailed information about what is 189/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

189/15 as a Decimal
189/15 = 12.6
Hence,
189/15 as a decimal equals to 12.6
where,
189/15 is a given fraction,
The decimal expansion of 189/15 is 12.6

189/15 as a Mixed Number
189/15 = (180 + 9)/15
= 180/15 + 9/15
= 12 + 9/15
= 12 9/15
189/15 = 12 9/15

Hence,
189/15 as a mixed number is 12 ⁹/₁₅
where,
189/15 is a given fraction,
12 ⁹/₁₅ is the mixed number representation of 189/15.

The below work with steps provide the detailed information about how to convert fraction 189/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 189/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 189/15.

step 2 The numerator is greater than the denominator of the fraction 189/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 189/15
= 180 + 9/15
= (12 x 15) + 9/15

step 3 Make the above expression as individual fractions:
= (12 x 15)/15 + 9/15

step 4 Simplify the above expression:
= 12 x 15/15 + 9/15
= 12 + 9/15
= 12 + 3 x 3/5 x 3
= 12 + 3/5
12 + 3/5 can be written as a mixed number 12 ³/₅.


step 5 Find the decimal equivalent for the fractional part 3/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 12 + (3/5 x 2/2)
= 12 + 6/10

step 6 Simplify the above expression further:
= 12 + 0.6
= 12.6
189/15 = 12.6

Hence,
189/15 as a decimal is 12.6
189/15 as a mixed number is 12 ³/₅