Calculators & Converters

    1/2 plus 1/3 as a fraction

    Fraction Addition Calculator

    1/2 + 1/3 as a fraction provides the detailed information about what is 1/2 plus 1/3 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/2+1/3 equals to
    1/2 + 1/3 = (?)
    1/2 + 1/3 = [(1 x 3) + (1 x 2)]/(2 x 3)
    = (3 + 2)/6
    = 5/6
    1/2 + 1/3 = 5/6
    1/2 plus 1/3 is equal to 5/6

    where
    1/2 is a fraction as an addend,
    1/3 is a fraction as an addend,
    5/6 is the sum of 1/2 and 1/3.

    1/2 plus 1/3 as a decimal
    1/2 + 1/3 = 5/6
    5/6 = 0.8333
    1/2+1/3 as a decimal is 0.8333
    where
    0.8333 is the sum of 1/2 and 1/3.

    For values other than 1/2 plus 1/3, use this below tool:

    How-to: 1/2 + 1/3 = ?

    The below workout with step by step calculation shows how to find what is 1/2 plus 1/3 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 1/2 plus 1/3 as a fraction?

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

    What to be found?
    1/2+1/3 = ?
    Find what's the sum of 1/2 and 1/3.


    step 2 Compare the denominators of fractions 1/2 and 1/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/3 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 1/2 and 1/3:
    The LCM of 2 and 3 is 6.


    step 4 Write the fractions 1/2 and 1/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/2+1/3
    =(1 x 6)/(2 x 6)+(1 x 6)/(3 x 6)


    step 5 Simplify the expression to have common denominator:
    =3/6+2/6


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/6 x (3/1+2/1)
    =1/6 x (3 + 2)


    step 7Simplify the above expression further:
    =1/6 x 5
    =5/6
    1/2+1/3=5/6

    Hence,
    1/2 plus 1/3 equals to 5/6 in fraction.



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

    What to be found?
    1/2+1/3 = ?
    Find what's the sum of 1/2 and 1/3.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 3), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
    = (1 x 3) + (1 x 2)/(2 x 3)

    step 3 Simplify and rewrite the fraction:
    = (3 + 2)/6
    1/2+1/3 = 5/6
    Hence,
    1/2 plus 1/3 = 5/6

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