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    What is 3/2 plus 2/3?

    Fraction Calculator

    3/2 + 2/3 as a fraction provides the detailed information about what is the sum of 3/2 and 2/3 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    3/2+2/3 equals to
    3/2 + 2/3 = 13/6
    Hence, 3/2 + 2/3 is equal to 13/6.
    where
    3/2 is a fraction as an addend,
    2/3 is a fraction as an addend,
    13/6 is the sum of 3/2 and 2/3.

    3/2 plus 2/3 as a decimal
    3/2 + 2/3 = 13/6
    13/6 = 2.1667
    Hence, 3/2+2/3 can be written as 2.1667 in decimal.
    where
    2.1667 is the sum of 3/2 and 2/3.

    For values other than 3/2 plus 2/3, use this below tool:

    How-to: 3/2 + 2/3 = ?

    The below workout with step by step calculation for adding 3/2 to 2/3 shows how to find what is the sum of 3/2 and 2/3. The sum of fractions 3/2 plus 2/3 can be obtained by using anyone of the two methods below:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 3/2 plus 2/3 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/2
    Fraction B: 2/3

    What to be found?
    3/2+2/3 = ?
    Find what's the sum of 3/2 and 2/3.


    step 2 Compare the denominators of fractions 3/2 and 2/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/2 and 2/3 are not equal, it is said to be unlike fractions addition.

    step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 3/2 and 2/3:
    The LCM of 2 and 3 is 6.


    step 4 Write the fractions 3/2 and 2/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =3/2+2/3
    =(3 x 6)/(2 x 6)+(2 x 6)/(3 x 6)


    step 5 Simplify the expression to have common denominator:
    =9/6+4/6


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/6 x (9/1+4/1)
    =1/6 x (9 + 4)


    step 7Simplify the above expression further:
    =1/6 x 13
    =13/6
    3/2+2/3=13/6

    Hence,
    3/2 plus 2/3 equals to 13/6 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/2
    Fraction B: 2/3

    What to be found?
    3/2+2/3 = ?
    Find what's the sum of 3/2 and 2/3.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 3) and rewrite the equation as like the below:
    = (3 x 3) + (2 x 2)/(2 x 3)

    step 3 Simplify and rewrite the fraction:
    = (9 + 4)/6
    3/2+2/3 = 13/6
    Hence,
    3/2 plus 2/3 = 13/6

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