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    1/9 plus 1/10 as a fraction

    Fraction Addition Calculator

    1/9 + 1/10 as a fraction provides the detailed information about what is 1/9 plus 1/10 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/9+1/10 equals to
    1/9 + 1/10 = (?)
    1/9 + 1/10 = [(1 x 10) + (1 x 9)]/(9 x 10)
    = (10 + 9)/90
    = 19/90
    1/9 + 1/10 = 19/90
    1/9 plus 1/10 is equal to 19/90

    where
    1/9 is a fraction as an addend,
    1/10 is a fraction as an addend,
    19/90 is the sum of 1/9 and 1/10.

    1/9 plus 1/10 as a decimal
    1/9 + 1/10 = 19/90
    19/90 = 0.2111
    1/9+1/10 as a decimal is 0.2111
    where
    0.2111 is the sum of 1/9 and 1/10.

    For values other than 1/9 plus 1/10, use this below tool:

    How-to: 1/9 + 1/10 = ?

    The below workout with step by step calculation shows how to find what is 1/9 plus 1/10 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 1/9 plus 1/10 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/9
    Fraction B: 1/10

    What to be found?
    1/9+1/10 = ?
    Find what's the sum of 1/9 and 1/10.


    step 2 Compare the denominators of fractions 1/9 and 1/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 1/10 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 1/9 and 1/10:
    The LCM of 9 and 10 is 90.


    step 4 Write the fractions 1/9 and 1/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/9+1/10
    =(1 x 90)/(9 x 90)+(1 x 90)/(10 x 90)


    step 5 Simplify the expression to have common denominator:
    =10/90+9/90


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/90 x (10/1+9/1)
    =1/90 x (10 + 9)


    step 7Simplify the above expression further:
    =1/90 x 19
    =19/90
    1/9+1/10=19/90

    Hence,
    1/9 plus 1/10 equals to 19/90 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/9
    Fraction B: 1/10

    What to be found?
    1/9+1/10 = ?
    Find what's the sum of 1/9 and 1/10.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 10), 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 10) and rewrite the equation as like the below:
    = (1 x 10) + (1 x 9)/(9 x 10)

    step 3 Simplify and rewrite the fraction:
    = (10 + 9)/90
    1/9+1/10 = 19/90
    Hence,
    1/9 plus 1/10 = 19/90

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