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    4/9 plus 1/6 as a fraction

    Fraction Addition Calculator

    4/9 + 1/6 as a fraction provides the detailed information about what is 4/9 plus 1/6 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    4/9+1/6 equals to
    4/9 + 1/6 = (?)
    4/9 + 1/6 = [(4 x 6) + (1 x 9)]/(9 x 6)
    = (24 + 9)/54
    = 33/54
    = (3 x 11)/(3 x 18)
    = 11/18
    4/9 + 1/6 = 11/18
    4/9 plus 1/6 is equal to 11/18

    where
    4/9 is a fraction as an addend,
    1/6 is a fraction as an addend,
    11/18 is the sum of 4/9 and 1/6.

    4/9 plus 1/6 as a decimal
    4/9 + 1/6 = 11/18
    11/18 = 0.6111
    4/9+1/6 as a decimal is 0.6111
    where
    0.6111 is the sum of 4/9 and 1/6.

    For values other than 4/9 plus 1/6, use this below tool:

    How-to: 4/9 + 1/6 = ?

    The below workout with step by step calculation shows how to find what is 4/9 plus 1/6 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 4/9 plus 1/6 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 4/9
    Fraction B: 1/6

    What to be found?
    4/9+1/6 = ?
    Find what's the sum of 4/9 and 1/6.


    step 2 Compare the denominators of fractions 4/9 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/9 and 1/6 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 4/9 and 1/6:
    The LCM of 9 and 6 is 18.


    step 4 Write the fractions 4/9 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =4/9+1/6
    =(4 x 18)/(9 x 18)+(1 x 18)/(6 x 18)


    step 5 Simplify the expression to have common denominator:
    =8/18+3/18


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/18 x (8/1+3/1)
    =1/18 x (8 + 3)


    step 7Simplify the above expression further:
    =1/18 x 11
    =11/18
    4/9+1/6=11/18

    Hence,
    4/9 plus 1/6 equals to 11/18 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 4/9
    Fraction B: 1/6

    What to be found?
    4/9+1/6 = ?
    Find what's the sum of 4/9 and 1/6.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 6), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 6) and rewrite the equation as like the below:
    = (4 x 6) + (1 x 9)/(9 x 6)

    step 3 Simplify and rewrite the fraction:
    = (24 + 9)/54
    = 33/54
    = 11/18
    4/9+1/6 = 11/18
    Hence,
    4/9 plus 1/6 = 11/18

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