260/30 as a Decimal and Mixed Number

260/30 as a decimal and mixed number expansion provides the detailed information about what is 260/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

260/30 as a Decimal
260/30 = 8.6667
Hence,
260/30 as a decimal equals to 8.6667
where,
260/30 is a given fraction,
The decimal expansion of 260/30 is 8.6667

260/30 as a Mixed Number
260/30 = (240 + 20)/30
= 240/30 + 20/30
= 8 + 20/30
= 8 20/30
260/30 = 8 20/30

Hence,
260/30 as a mixed number is 8 ²⁰/₃₀
where,
260/30 is a given fraction,
8 ²⁰/₃₀ is the mixed number representation of 260/30.

The below work with steps provide the detailed information about how to convert fraction 260/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 260/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 260/30.

step 2 The numerator is greater than the denominator of the fraction 260/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 260/30
= 240 + 20/30
= (8 x 30) + 20/30

step 3 Make the above expression as individual fractions:
= (8 x 30)/30 + 20/30

step 4 Simplify the above expression:
= 8 x 30/30 + 20/30
= 8 + 20/30
= 8 + 2 x 10/3 x 10
= 8 + 2/3
8 + 2/3 can be written as a mixed number 8 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 8 + 0.6667
= 8.6667
260/30 = 8.6667

Hence,
260/30 as a decimal is 8.6667
260/30 as a mixed number is 8 ²/₃