Calculators & Converters

    1/4 plus 1/9 as a fraction

    Fraction Addition Calculator

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

    1/4+1/9 equals to
    1/4 + 1/9 = (?)
    1/4 + 1/9 = [(1 x 9) + (1 x 4)]/(4 x 9)
    = (9 + 4)/36
    = 13/36
    1/4 + 1/9 = 13/36
    1/4 plus 1/9 is equal to 13/36

    where
    1/4 is a fraction as an addend,
    1/9 is a fraction as an addend,
    13/36 is the sum of 1/4 and 1/9.

    1/4 plus 1/9 as a decimal
    1/4 + 1/9 = 13/36
    13/36 = 0.3611
    1/4+1/9 as a decimal is 0.3611
    where
    0.3611 is the sum of 1/4 and 1/9.

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

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

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

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

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

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


    step 2 Compare the denominators of fractions 1/4 and 1/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 1/9 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 1/4 and 1/9:
    The LCM of 4 and 9 is 36.


    step 4 Write the fractions 1/4 and 1/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/4+1/9
    =(1 x 36)/(4 x 36)+(1 x 36)/(9 x 36)


    step 5 Simplify the expression to have common denominator:
    =9/36+4/36


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/36 x (9/1+4/1)
    =1/36 x (9 + 4)


    step 7Simplify the above expression further:
    =1/36 x 13
    =13/36
    1/4+1/9=13/36

    Hence,
    1/4 plus 1/9 equals to 13/36 in fraction.



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

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

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

    step 3 Simplify and rewrite the fraction:
    = (9 + 4)/36
    1/4+1/9 = 13/36
    Hence,
    1/4 plus 1/9 = 13/36

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