320/30 as a Decimal and Mixed Number

320/30 as a decimal and mixed number expansion provides the detailed information about what is 320/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/30 as a Decimal
320/30 = 10.6667
Hence,
320/30 as a decimal equals to 10.6667
where,
320/30 is a given fraction,
The decimal expansion of 320/30 is 10.6667

320/30 as a Mixed Number
320/30 = (300 + 20)/30
= 300/30 + 20/30
= 10 + 20/30
= 10 20/30
320/30 = 10 20/30

Hence,
320/30 as a mixed number is 10 ²⁰/₃₀
where,
320/30 is a given fraction,
10 ²⁰/₃₀ is the mixed number representation of 320/30.

The below work with steps provide the detailed information about how to convert fraction 320/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/30.

step 2 The numerator is greater than the denominator of the fraction 320/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/30
= 300 + 20/30
= (10 x 30) + 20/30

step 3 Make the above expression as individual fractions:
= (10 x 30)/30 + 20/30

step 4 Simplify the above expression:
= 10 x 30/30 + 20/30
= 10 + 20/30
= 10 + 2 x 10/3 x 10
= 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
320/30 = 10.6667

Hence,
320/30 as a decimal is 10.6667
320/30 as a mixed number is 10 ²/₃