Calculators & Converters

    1/3 plus 2/9 as a fraction

    Fraction Addition Calculator

    1/3 + 2/9 as a fraction provides the detailed information about what is 1/3 plus 2/9 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/3+2/9 equals to
    1/3 + 2/9 = (?)
    1/3 + 2/9 = [(1 x 9) + (2 x 3)]/(3 x 9)
    = (9 + 6)/27
    = 15/27
    = (3 x 5)/(3 x 9)
    = 5/9
    1/3 + 2/9 = 5/9
    1/3 plus 2/9 is equal to 5/9

    where
    1/3 is a fraction as an addend,
    2/9 is a fraction as an addend,
    5/9 is the sum of 1/3 and 2/9.

    1/3 plus 2/9 as a decimal
    1/3 + 2/9 = 5/9
    5/9 = 0.5556
    1/3+2/9 as a decimal is 0.5556
    where
    0.5556 is the sum of 1/3 and 2/9.

    For values other than 1/3 plus 2/9, use this below tool:

    How-to: 1/3 + 2/9 = ?

    The below workout with step by step calculation shows how to find what is 1/3 plus 2/9 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 1/3 plus 2/9 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/3
    Fraction B: 2/9

    What to be found?
    1/3+2/9 = ?
    Find what's the sum of 1/3 and 2/9.


    step 2 Compare the denominators of fractions 1/3 and 2/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/9 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 1/3 and 2/9:
    The LCM of 3 and 9 is 9.


    step 4 Write the fractions 1/3 and 2/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/3+2/9
    =(1 x 9)/(3 x 9)+(2 x 9)/(9 x 9)


    step 5 Simplify the expression to have common denominator:
    =3/9+2/9


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/9 x (3/1+2/1)
    =1/9 x (3 + 2)


    step 7Simplify the above expression further:
    =1/9 x 5
    =5/9
    1/3+2/9=5/9

    Hence,
    1/3 plus 2/9 equals to 5/9 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/3
    Fraction B: 2/9

    What to be found?
    1/3+2/9 = ?
    Find what's the sum of 1/3 and 2/9.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 9), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 9) and rewrite the equation as like the below:
    = (1 x 9) + (2 x 3)/(3 x 9)

    step 3 Simplify and rewrite the fraction:
    = (9 + 6)/27
    = 15/27
    = 5/9
    1/3+2/9 = 5/9
    Hence,
    1/3 plus 2/9 = 5/9

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