23/9 as a Decimal and Mixed Number

23/9 as a decimal and mixed number expansion provides the detailed information about what is 23/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

23/9 as a Decimal Expansion
23/9 = 2.5556
Hence,
23/9 as a decimal equals to 2.5556
where,
23/9 is a given fraction,
The decimal expansion of 23/9 is 2.5556

23/9 as a Mixed Number
23/9 = (18 + 5)/9
= 18/9 + 5/9
= 2 + 5/9
= 2 5/9
23/9 = 2 5/9

Hence,
23/9 as a mixed number is 2 ⁵/₉
where,
23/9 is a given fraction,
2 ⁵/₉ is the mixed number representation of 23/9.

The below work with steps provide the detailed information about how to convert fraction 23/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 23/9

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 23/9.

step 2 The numerator is greater than the denominator of the fraction 23/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 23/9
= 18 + 5/9
= (2 x 9) + 5/9

step 3 Make the above expression as individual fractions:
= (2 x 9)/9 + 5/9

step 4 Simplify the above expression:
= 2 x 9/9 + 5/9
= 2 + 5/9
2 + 5/9 can be written as a mixed number 2 ⁵/₉.


step 5 Find the decimal equivalent for the fractional part 5/9 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/9. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 5/9.
= 2 + (5/9 x 10/10)

step 6 Simplify the above expression further:
= 2 + (50/9 x 1/10)
= 2 + (45 + 5/9 x 1/10)
= 2 + [(45/9 + 5/9 ) x 1/10]
= 2 + [(5 + 5/9) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/9 in the above expression:
= 2 + [(5 + 5/9) x 1/10]
= 2 + [(5 + 0.56) x 1/10]
= 2 + (5.56 x 1/10)
= 2 + 5.56/10
= 2 + 0.556

step 8 Find the sum of above expression:
= 2 + 0.556
= 2.556
23/9 = 2.556

Hence,
23/9 as a decimal is 2.556
23/9 as a mixed number is 2 ⁵/₉