Calculators & Converters

    23/9 as a Decimal and Mixed Number

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    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.

    For values other than 23/9, use this below tool:

    How-to: 23/9 as a Decimal

    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


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