Calculators & Converters

    Fractions & Mixed Numbers Addition for 1/3, 2/5, 3/7 & 5/9

    Fraction Calculator541/315 and 1.72 is the fraction and decimal equivalent respectively for adding 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 addition calculator.

    Workout for Sum 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 addition worksheet problems or how to find what is an equivalent fraction for sum of 1/3, 2/5, 3/7 and 5/9.

    Example Problem
    Find the sum of 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

    Fraction Form:
    1/3+2/5+3/7+5/9= 541/315
    Decimal Form:
    1/3+2/5+3/7+5/9= 1.72

    Thus, 541/315 is an equivalent fraction for adding fractions with same or different denominators, whole numbers & mixed numbers 1/3, 2/5, 3/7 & 5/9.

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