164/15 as a Decimal and Mixed Number

164/15 as a decimal and mixed number expansion provides the detailed information about what is 164/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/15 as a Decimal
164/15 = 10.9333
Hence,
164/15 as a decimal equals to 10.9333
where,
164/15 is a given fraction,
The decimal expansion of 164/15 is 10.9333

164/15 as a Mixed Number
164/15 = (150 + 14)/15
= 150/15 + 14/15
= 10 + 14/15
= 10 14/15
164/15 = 10 14/15

Hence,
164/15 as a mixed number is 10 ¹⁴/₁₅
where,
164/15 is a given fraction,
10 ¹⁴/₁₅ is the mixed number representation of 164/15.

The below work with steps provide the detailed information about how to convert fraction 164/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/15.

step 2 The numerator is greater than the denominator of the fraction 164/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/15
= 150 + 14/15
= (10 x 15) + 14/15

step 3 Make the above expression as individual fractions:
= (10 x 15)/15 + 14/15

step 4 Simplify the above expression:
= 10 x 15/15 + 14/15
= 10 + 14/15
10 + 14/15 can be written as a mixed number 10 ¹⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 14/15 in the above expression:
= 10 + 0.9333
= 10.9333
164/15 = 10.9333

Hence,
164/15 as a decimal is 10.9333
164/15 as a mixed number is 10 ¹⁴/₁₅