Calculators & Converters

    10/3 as a Decimal and Mixed Number

    Fraction to Decimal Calculator

    10/3 as a decimal and mixed number expansion provides the detailed information about what is 10/3 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

    10/3 as a Decimal Expansion
    10/3 = 3.3333
    Hence,
    10/3 as a decimal equals to 3.3333
    where,
    10/3 is a given fraction,
    The decimal expansion of 10/3 is 3.3333

    10/3 as a Mixed Number
    10/3 = (9 + 1)/3
    = 9/3 + 1/3
    = 3 + 1/3
    = 3 1/3
    10/3 = 3 1/3

    Hence,
    10/3 as a mixed number is 3 1/3
    where,
    10/3 is a given fraction,
    3 1/3 is the mixed number representation of 10/3.

    For values other than 10/3, use this below tool:

    How-to: 10/3 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 10/3 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 10/3

    What to be found:
    Find the equivalent decimal expansion and mixed number for fraction 10/3.


    step 2 The numerator is greater than the denominator of the fraction 10/3, so write the given fraction in the expression form in terms of denominator as like the below:
    = 10/3
    = 9 + 1/3
    = (3 x 3) + 1/3


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


    step 4 Simplify the above expression:
    = 3 x 3/3 + 1/3
    = 3 + 1/3
    3 + 1/3 can be written as a mixed number 3 1/3.


    step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
    Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/3. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/3.
    = 3 + (1/3 x 10/10)


    step 6 Simplify the above expression further:
    = 3 + (10/3 x 1/10)
    = 3 + (9 + 1/3 x 1/10)
    = 3 + [(9/3 + 1/3 ) x 1/10]
    = 3 + [(3 + 1/3) x 1/10]


    step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/3 in the above expression:
    = 3 + [(3 + 1/3) x 1/10]
    = 3 + [(3 + 0.33) x 1/10]
    = 3 + (3.33 x 1/10)
    = 3 + 3.33/10
    = 3 + 0.333


    step 8 Find the sum of above expression:
    = 3 + 0.333
    = 3.333
    10/3 = 3.333

    Hence,
    10/3 as a decimal is 3.333
    10/3 as a mixed number is 3 1/3


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