Calculators & Converters

    1/3 plus 1/4 as a fraction

    Fraction Addition Calculator

    1/3 + 1/4 as a fraction provides the detailed information about what is 1/3 plus 1/4 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/3+1/4 equals to
    1/3 + 1/4 = (?)
    1/3 + 1/4 = [(1 x 4) + (1 x 3)]/(3 x 4)
    = (4 + 3)/12
    = 7/12
    1/3 + 1/4 = 7/12
    1/3 plus 1/4 is equal to 7/12

    where
    1/3 is a fraction as an addend,
    1/4 is a fraction as an addend,
    7/12 is the sum of 1/3 and 1/4.

    1/3 plus 1/4 as a decimal
    1/3 + 1/4 = 7/12
    7/12 = 0.5833
    1/3+1/4 as a decimal is 0.5833
    where
    0.5833 is the sum of 1/3 and 1/4.

    For values other than 1/3 plus 1/4, use this below tool:

    How-to: 1/3 + 1/4 = ?

    The below workout with step by step calculation shows how to find what is 1/3 plus 1/4 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 1/4 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/3
    Fraction B: 1/4

    What to be found?
    1/3+1/4 = ?
    Find what's the sum of 1/3 and 1/4.


    step 2 Compare the denominators of fractions 1/3 and 1/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 1/4 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 1/4:
    The LCM of 3 and 4 is 12.


    step 4 Write the fractions 1/3 and 1/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/3+1/4
    =(1 x 12)/(3 x 12)+(1 x 12)/(4 x 12)


    step 5 Simplify the expression to have common denominator:
    =4/12+3/12


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/12 x (4/1+3/1)
    =1/12 x (4 + 3)


    step 7Simplify the above expression further:
    =1/12 x 7
    =7/12
    1/3+1/4=7/12

    Hence,
    1/3 plus 1/4 equals to 7/12 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: 1/4

    What to be found?
    1/3+1/4 = ?
    Find what's the sum of 1/3 and 1/4.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 4), 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 4) and rewrite the equation as like the below:
    = (1 x 4) + (1 x 3)/(3 x 4)

    step 3 Simplify and rewrite the fraction:
    = (4 + 3)/12
    1/3+1/4 = 7/12
    Hence,
    1/3 plus 1/4 = 7/12

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