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    7/6 plus 5/9 as a fraction

    Fraction Addition Calculator

    7/6 + 5/9 as a fraction provides the detailed information about what is 7/6 plus 5/9 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    7/6+5/9 equals to
    7/6 + 5/9 = (?)
    7/6 + 5/9 = [(7 x 9) + (5 x 6)]/(6 x 9)
    = (63 + 30)/54
    = 93/54
    = (3 x 31)/(3 x 18)
    = 31/18
    7/6 + 5/9 = 31/18
    7/6 plus 5/9 is equal to 31/18

    where
    7/6 is a fraction as an addend,
    5/9 is a fraction as an addend,
    31/18 is the sum of 7/6 and 5/9.

    7/6 plus 5/9 as a decimal
    7/6 + 5/9 = 31/18
    31/18 = 1.7222
    7/6+5/9 as a decimal is 1.7222
    where
    1.7222 is the sum of 7/6 and 5/9.

    For values other than 7/6 plus 5/9, use this below tool:

    How-to: 7/6 + 5/9 = ?

    The below workout with step by step calculation shows how to find what is 7/6 plus 5/9 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 7/6 plus 5/9 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 7/6
    Fraction B: 5/9

    What to be found?
    7/6+5/9 = ?
    Find what's the sum of 7/6 and 5/9.


    step 2 Compare the denominators of fractions 7/6 and 5/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/6 and 5/9 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 7/6 and 5/9:
    The LCM of 6 and 9 is 18.


    step 4 Write the fractions 7/6 and 5/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =7/6+5/9
    =(7 x 18)/(6 x 18)+(5 x 18)/(9 x 18)


    step 5 Simplify the expression to have common denominator:
    =21/18+10/18


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/18 x (21/1+10/1)
    =1/18 x (21 + 10)


    step 7Simplify the above expression further:
    =1/18 x 31
    =31/18
    7/6+5/9=31/18

    Hence,
    7/6 plus 5/9 equals to 31/18 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 7/6
    Fraction B: 5/9

    What to be found?
    7/6+5/9 = ?
    Find what's the sum of 7/6 and 5/9.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 9), find the product of numerator of Fraction B and denominator of Fraction A (5 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 9) and rewrite the equation as like the below:
    = (7 x 9) + (5 x 6)/(6 x 9)

    step 3 Simplify and rewrite the fraction:
    = (63 + 30)/54
    = 93/54
    = 31/18
    7/6+5/9 = 31/18
    Hence,
    7/6 plus 5/9 = 31/18

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