260/90 as a Decimal and Mixed Number

260/90 as a decimal and mixed number expansion provides the detailed information about what is 260/90 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

260/90 as a Decimal
260/90 = 2.8889
Hence,
260/90 as a decimal equals to 2.8889
where,
260/90 is a given fraction,
The decimal expansion of 260/90 is 2.8889

260/90 as a Mixed Number
260/90 = (180 + 80)/90
= 180/90 + 80/90
= 2 + 80/90
= 2 80/90
260/90 = 2 80/90

Hence,
260/90 as a mixed number is 2 ⁸⁰/₉₀
where,
260/90 is a given fraction,
2 ⁸⁰/₉₀ is the mixed number representation of 260/90.

The below work with steps provide the detailed information about how to convert fraction 260/90 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 260/90

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 260/90.

step 2 The numerator is greater than the denominator of the fraction 260/90, so write the given fraction in the expression form in terms of denominator as like the below:
= 260/90
= 180 + 80/90
= (2 x 90) + 80/90

step 3 Make the above expression as individual fractions:
= (2 x 90)/90 + 80/90

step 4 Simplify the above expression:
= 2 x 90/90 + 80/90
= 2 + 80/90
= 2 + 8 x 10/9 x 10
= 2 + 8/9
2 + 8/9 can be written as a mixed number 2 ⁸/₉.


step 5 Find the decimal equivalent for the fractional part 8/9 in the above expression:
= 2 + 0.8889
= 2.8889
260/90 = 2.8889

Hence,
260/90 as a decimal is 2.8889
260/90 as a mixed number is 2 ⁸/₉