Calculators & Converters

    1/3 plus 1/11 as a fraction

    Fraction Addition Calculator

    1/3 + 1/11 as a fraction provides the detailed information about what is 1/3 plus 1/11 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/3+1/11 equals to
    1/3 + 1/11 = (?)
    1/3 + 1/11 = [(1 x 11) + (1 x 3)]/(3 x 11)
    = (11 + 3)/33
    = 14/33
    1/3 + 1/11 = 14/33
    1/3 plus 1/11 is equal to 14/33

    where
    1/3 is a fraction as an addend,
    1/11 is a fraction as an addend,
    14/33 is the sum of 1/3 and 1/11.

    1/3 plus 1/11 as a decimal
    1/3 + 1/11 = 14/33
    14/33 = 0.4242
    1/3+1/11 as a decimal is 0.4242
    where
    0.4242 is the sum of 1/3 and 1/11.

    For values other than 1/3 plus 1/11, use this below tool:

    How-to: 1/3 + 1/11 = ?

    The below workout with step by step calculation shows how to find what is 1/3 plus 1/11 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 1/3 plus 1/11 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/3
    Fraction B: 1/11

    What to be found?
    1/3+1/11 = ?
    Find what's the sum of 1/3 and 1/11.


    step 2 Compare the denominators of fractions 1/3 and 1/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 1/11 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 1/3 and 1/11:
    The LCM of 3 and 11 is 33.


    step 4 Write the fractions 1/3 and 1/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/3+1/11
    =(1 x 33)/(3 x 33)+(1 x 33)/(11 x 33)


    step 5 Simplify the expression to have common denominator:
    =11/33+3/33


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/33 x (11/1+3/1)
    =1/33 x (11 + 3)


    step 7Simplify the above expression further:
    =1/33 x 14
    =14/33
    1/3+1/11=14/33

    Hence,
    1/3 plus 1/11 equals to 14/33 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/3
    Fraction B: 1/11

    What to be found?
    1/3+1/11 = ?
    Find what's the sum of 1/3 and 1/11.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 11), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 11) and rewrite the equation as like the below:
    = (1 x 11) + (1 x 3)/(3 x 11)

    step 3 Simplify and rewrite the fraction:
    = (11 + 3)/33
    1/3+1/11 = 14/33
    Hence,
    1/3 plus 1/11 = 14/33

    getcalc.com Calculators