Calculators & Converters

    Fractions & Mixed Numbers Average of 1/3, 2/5, 3/7 & 5/9

    Fraction Calculator541/315 and 0.43 is the fraction and decimal equivalent respectively for average of fractions with same or different denominators, whole numbers & mixed numbers 1/3, 2/5, 3/7 and 5/9 by using this multiple fractions & mixed numbers average calculator.

    Workout for Average of 1/3, 2/5, 3/7 & 5/9

    Grade school students, teachers or parents may refer the below solved example workout with step by step calculation to solve similar fractions and whole numbers average worksheet problems or how to find what is an equivalent fraction for average of 1/3, 2/5, 3/7 and 5/9.

    Example Problem
    Find the sum between 1/3, 2/5, 3/7 & 5/9.

    Step by step workout
    step 1 Input parameters & values:
    1/3,  2/5,  3/7,  5/9
    Total count = 4

    step 2 Compare all denominators of the fractions, if they are not same, find the LCM (least common multiple) for all denominators. 315 is the LCM for 3 , 5 , 7 , 9 .

    step 3 Multiply LCM 315 with each numerators & denominators
    = (1 x 315)/(3 x 315)+(2 x 315)/(5 x 315)+(3 x 315)/(7 x 315)+(5 x 315)/(9 x 315)

    step 4 Simply the above expression to have same denominators for all fractions.
    =(1 x 105)/315+(2 x 63)/315+(3 x 45)/315+(5 x 35)/315

    =105/315+126/315+135/315+175/315

    =105 + 126 + 135 + 175/315

    step 5 Add all numerators and rewrite it in a single form.
    =541/315

    step 6 Divide the sum by total count of fractions.
    = 541/315รท 4
    = 541/315x1/4
    =541/1260

    Fraction Form:
    1/3+2/5+3/7+5/9= 541/1260
    Decimal Form:
    1/3+2/5+3/7+5/9= 0.43

    Thus, 541/1260 is the average of fractions & whole numbers 1/3, 2/5, 3/7 and 5/9.

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