160/15 as a Decimal and Mixed Number

160/15 as a decimal and mixed number expansion provides the detailed information about what is 160/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/15 as a Decimal
160/15 = 10.6667
Hence,
160/15 as a decimal equals to 10.6667
where,
160/15 is a given fraction,
The decimal expansion of 160/15 is 10.6667

160/15 as a Mixed Number
160/15 = (150 + 10)/15
= 150/15 + 10/15
= 10 + 10/15
= 10 10/15
160/15 = 10 10/15

Hence,
160/15 as a mixed number is 10 ¹⁰/₁₅
where,
160/15 is a given fraction,
10 ¹⁰/₁₅ is the mixed number representation of 160/15.

The below work with steps provide the detailed information about how to convert fraction 160/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/15.

step 2 The numerator is greater than the denominator of the fraction 160/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/15
= 150 + 10/15
= (10 x 15) + 10/15

step 3 Make the above expression as individual fractions:
= (10 x 15)/15 + 10/15

step 4 Simplify the above expression:
= 10 x 15/15 + 10/15
= 10 + 10/15
= 10 + 2 x 5/3 x 5
= 10 + 2/3
10 + 2/3 can be written as a mixed number 10 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 10 + 0.6667
= 10.6667
160/15 = 10.6667

Hence,
160/15 as a decimal is 10.6667
160/15 as a mixed number is 10 ²/₃