198/15 as a Decimal and Mixed Number

198/15 as a decimal and mixed number expansion provides the detailed information about what is 198/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

198/15 as a Decimal
198/15 = 13.2
Hence,
198/15 as a decimal equals to 13.2
where,
198/15 is a given fraction,
The decimal expansion of 198/15 is 13.2

198/15 as a Mixed Number
198/15 = (195 + 3)/15
= 195/15 + 3/15
= 13 + 3/15
= 13 3/15
198/15 = 13 3/15

Hence,
198/15 as a mixed number is 13 ³/₁₅
where,
198/15 is a given fraction,
13 ³/₁₅ is the mixed number representation of 198/15.

The below work with steps provide the detailed information about how to convert fraction 198/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 198/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 198/15.

step 2 The numerator is greater than the denominator of the fraction 198/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 198/15
= 195 + 3/15
= (13 x 15) + 3/15

step 3 Make the above expression as individual fractions:
= (13 x 15)/15 + 3/15

step 4 Simplify the above expression:
= 13 x 15/15 + 3/15
= 13 + 3/15
= 13 + 1 x 3/5 x 3
= 13 + 1/5
13 + 1/5 can be written as a mixed number 13 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 13 + (1/5 x 2/2)
= 13 + 2/10

step 6 Simplify the above expression further:
= 13 + 0.2
= 13.2
198/15 = 13.2

Hence,
198/15 as a decimal is 13.2
198/15 as a mixed number is 13 ¹/₅