Calculators & Converters

    9/4 as a Decimal and Mixed Number

    Fraction to Decimal Calculator

    9/4 as a decimal and mixed number expansion provides the detailed information about what is 9/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

    9/4 as a Decimal Expansion
    9/4 = 2.25
    Hence,
    9/4 as a decimal equals to 2.25
    where,
    9/4 is a given fraction,
    The decimal expansion of 9/4 is 2.25

    9/4 as a Mixed Number
    9/4 = (8 + 1)/4
    = 8/4 + 1/4
    = 2 + 1/4
    = 2 1/4
    9/4 = 2 1/4

    Hence,
    9/4 as a mixed number is 2 1/4
    where,
    9/4 is a given fraction,
    2 1/4 is the mixed number representation of 9/4.

    For values other than 9/4, use this below tool:

    How-to: 9/4 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 9/4 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 9/4

    What to be found:
    Find the equivalent decimal expansion and mixed number for fraction 9/4.


    step 2 The numerator is greater than the denominator of the fraction 9/4, so write the given fraction in the expression form in terms of denominator as like the below:
    = 9/4
    = 8 + 1/4
    = (2 x 4) + 1/4


    step 3 Make the above expression as individual fractions:
    = (2 x 4)/4 + 1/4


    step 4 Simplify the above expression:
    = 2 x 4/4 + 1/4
    = 2 + 1/4
    2 + 1/4 can be written as a mixed number 2 1/4.


    step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
    Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/4. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/4.
    = 2 + (1/4 x 10/10)


    step 6 Simplify the above expression further:
    = 2 + (10/4 x 1/10)
    = 2 + (8 + 2/4 x 1/10)
    = 2 + [(8/4 + 2/4 ) x 1/10]
    = 2 + [(2 + 2/4) x 1/10]


    step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/4 in the above expression:
    = 2 + [(2 + 2/4) x 1/10]
    = 2 + [(2 + 0.5) x 1/10]
    = 2 + (2.5 x 1/10)
    = 2 + 2.5/10
    = 2 + 0.25


    step 8 Find the sum of above expression:
    = 2 + 0.25
    = 2.25
    9/4 = 2.25

    Hence,
    9/4 as a decimal is 2.25
    9/4 as a mixed number is 2 1/4


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