Calculators & Converters

    Fractions & Mixed Numbers Average of 1/2, 3/4, 5/6, 7/8 & 9/10

    Fraction Calculator463/120 and 0.77 is the fraction and decimal equivalent respectively for average of fractions with same or different denominators, whole numbers & mixed numbers 1/2, 3/4, 5/6, 7/8 and 9/10 by using this multiple fractions & mixed numbers average calculator.

    Workout for Average of 1/2, 3/4, 5/6, 7/8 & 9/10

    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 1/2, 3/4, 5/6, 7/8 and 9/10.

    Example Problem
    Find the sum between 1/2, 3/4, 5/6, 7/8 & 9/10.

    Step by step workout
    step 1 Input parameters & values:
    1/2,  3/4,  5/6,  7/8,  9/10
    Total count = 5

    step 2 Compare all denominators of the fractions, if they are not same, find the LCM (least common multiple) for all denominators. 120 is the LCM for 2 , 4 , 6 , 8 , 10 .

    step 3 Multiply LCM 120 with each numerators & denominators
    = (1 x 120)/(2 x 120)+(3 x 120)/(4 x 120)+(5 x 120)/(6 x 120)+(7 x 120)/(8 x 120)+(9 x 120)/(10 x 120)

    step 4 Simply the above expression to have same denominators for all fractions.
    =(1 x 60)/120+(3 x 30)/120+(5 x 20)/120+(7 x 15)/120+(9 x 12)/120

    =60/120+90/120+100/120+105/120+108/120

    =60 + 90 + 100 + 105 + 108/120

    step 5 Add all numerators and rewrite it in a single form.
    =463/120

    step 6 Divide the sum by total count of fractions.
    = 463/120รท 5
    = 463/120x1/5
    =463/600

    Fraction Form:
    1/2+3/4+5/6+7/8+9/10= 463/600
    Decimal Form:
    1/2+3/4+5/6+7/8+9/10= 0.77

    Thus, 463/600 is the average of fractions & whole numbers 1/2, 3/4, 5/6, 7/8 and 9/10.

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