Calculators & Converters

    What is 3/2 + 2/3?

    Fraction Calculator

    getcalc.com's two fractions addition calculator is an online basic math function tool to find what's the equivalent fraction for sum of two fractional numbers with different, unequal or unlike denominators 3/2 and 2/3.

    3/2 + 2/3 = 13/6 in fraction form

    3/2 + 2/3 = 2.1667 in decimal form
    This calculator, formula, step by step calculation and associated information for adding 3/2 & 2/3 may help students, teachers, parents or professionals to learn, teach, practice or verify such two fractions addition calculations efficiently.

    How to Find Equivalent Fraction for 3/2+2/3?

    The below workout with step by step calculation shows how to find the equivalent fraction between 3/2 and 2/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/2 plus 2/3 can be obtained by using anyone of the two methods below.
    1. LCM method
    2. Cross multiplication method.

    Problem & Workout - LCM Method
    What is 3/2 plus 2/3 as a fraction by addition using LCM method?

    step 1 Address formula, input parameters & values.
    Input parameters & values:
    3/2 & 2/3
    3/2+2/3 = ?

    step 2 For unequal denominators, find the LCM (least common multiple) for both denominators
    The LCM for 2 and 3 is 6.

    step 3 To have the common denominator, multiply the LCM with both numerator & denominator
    =(3 x 6)/(2 x 6)+(2 x 6)/(3 x 6)
    =9/6+4/6
    =(9 + 4)/6

    step 4 Add both numerator and rewrite it in a single form.
    =13/6
    3/2+2/3=13/6

    By using LCM method, 13/6 is the equivalent fraction by adding 3/2 and 2/3.



    Problem & Workout - Cross Multiplication Method
    step 1 Address formula, input parameters & values.
    Input parameters & values:
    3/2 & 2/3
    3/2 + 2/3 = ?

    step 2 Cross multiply both numerator & denominator, multiply both denominators and rewrite as below
    = (3 x 3) + (2 x 2)/(2 x 3)

    step 3 Simplify & rewrite the fraction
    = (9 + 4)/6
    3/2+2/3 = 13/6
    By using cross multiplication method, 13/6 is the addition between two fractions 3/2 and 2/3.

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