Calculators & Converters

    15/4 as a Decimal and Mixed Number

    Fraction to Decimal Calculator

    15/4 as a decimal and mixed number expansion provides the detailed information about what is 15/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

    15/4 as a Decimal Expansion
    15/4 = 3.75
    Hence,
    15/4 as a decimal equals to 3.75
    where,
    15/4 is a given fraction,
    The decimal expansion of 15/4 is 3.75

    15/4 as a Mixed Number
    15/4 = (12 + 3)/4
    = 12/4 + 3/4
    = 3 + 3/4
    = 3 3/4
    15/4 = 3 3/4

    Hence,
    15/4 as a mixed number is 3 3/4
    where,
    15/4 is a given fraction,
    3 3/4 is the mixed number representation of 15/4.

    For values other than 15/4, use this below tool:

    How-to: 15/4 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 15/4 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 15/4

    What to be found:
    Find the equivalent decimal expansion and mixed number for fraction 15/4.


    step 2 The numerator is greater than the denominator of the fraction 15/4, so write the given fraction in the expression form in terms of denominator as like the below:
    = 15/4
    = 12 + 3/4
    = (3 x 4) + 3/4


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


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


    step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
    Find how many 10s should be multiplied with both numerator and denominator of fractional part 3/4. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 3/4.
    = 3 + (3/4 x 10/10)


    step 6 Simplify the above expression further:
    = 3 + (30/4 x 1/10)
    = 3 + (28 + 2/4 x 1/10)
    = 3 + [(28/4 + 2/4 ) x 1/10]
    = 3 + [(7 + 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:
    = 3 + [(7 + 2/4) x 1/10]
    = 3 + [(7 + 0.5) x 1/10]
    = 3 + (7.5 x 1/10)
    = 3 + 7.5/10
    = 3 + 0.75


    step 8 Find the sum of above expression:
    = 3 + 0.75
    = 3.75
    15/4 = 3.75

    Hence,
    15/4 as a decimal is 3.75
    15/4 as a mixed number is 3 3/4


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