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    5/9 plus 5/11 as a fraction

    Fraction Addition Calculator

    5/9 + 5/11 as a fraction provides the detailed information about what is 5/9 plus 5/11 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    5/9+5/11 equals to
    5/9 + 5/11 = (?)
    5/9 + 5/11 = [(5 x 11) + (5 x 9)]/(9 x 11)
    = (55 + 45)/99
    = 100/99
    5/9 + 5/11 = 100/99
    5/9 plus 5/11 is equal to 100/99

    where
    5/9 is a fraction as an addend,
    5/11 is a fraction as an addend,
    100/99 is the sum of 5/9 and 5/11.

    5/9 plus 5/11 as a decimal
    5/9 + 5/11 = 100/99
    100/99 = 1.0101
    5/9+5/11 as a decimal is 1.0101
    where
    1.0101 is the sum of 5/9 and 5/11.

    For values other than 5/9 plus 5/11, use this below tool:

    How-to: 5/9 + 5/11 = ?

    The below workout with step by step calculation shows how to find what is 5/9 plus 5/11 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 5/9 plus 5/11 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 5/9
    Fraction B: 5/11

    What to be found?
    5/9+5/11 = ?
    Find what's the sum of 5/9 and 5/11.


    step 2 Compare the denominators of fractions 5/9 and 5/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/9 and 5/11 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 5/9 and 5/11:
    The LCM of 9 and 11 is 99.


    step 4 Write the fractions 5/9 and 5/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =5/9+5/11
    =(5 x 99)/(9 x 99)+(5 x 99)/(11 x 99)


    step 5 Simplify the expression to have common denominator:
    =55/99+45/99


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/99 x (55/1+45/1)
    =1/99 x (55 + 45)


    step 7Simplify the above expression further:
    =1/99 x 100
    =100/99
    5/9+5/11=100/99

    Hence,
    5/9 plus 5/11 equals to 100/99 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 5/9
    Fraction B: 5/11

    What to be found?
    5/9+5/11 = ?
    Find what's the sum of 5/9 and 5/11.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 11), find the product of numerator of Fraction B and denominator of Fraction A (5 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 11) and rewrite the equation as like the below:
    = (5 x 11) + (5 x 9)/(9 x 11)

    step 3 Simplify and rewrite the fraction:
    = (55 + 45)/99
    5/9+5/11 = 100/99
    Hence,
    5/9 plus 5/11 = 100/99

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