Calculators & Converters

    1/4 plus 1/7 as a fraction

    Fraction Addition Calculator

    1/4 + 1/7 as a fraction provides the detailed information about what is 1/4 plus 1/7 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/4+1/7 equals to
    1/4 + 1/7 = (?)
    1/4 + 1/7 = [(1 x 7) + (1 x 4)]/(4 x 7)
    = (7 + 4)/28
    = 11/28
    1/4 + 1/7 = 11/28
    1/4 plus 1/7 is equal to 11/28

    where
    1/4 is a fraction as an addend,
    1/7 is a fraction as an addend,
    11/28 is the sum of 1/4 and 1/7.

    1/4 plus 1/7 as a decimal
    1/4 + 1/7 = 11/28
    11/28 = 0.3929
    1/4+1/7 as a decimal is 0.3929
    where
    0.3929 is the sum of 1/4 and 1/7.

    For values other than 1/4 plus 1/7, use this below tool:

    How-to: 1/4 + 1/7 = ?

    The below workout with step by step calculation shows how to find what is 1/4 plus 1/7 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 1/7 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/4
    Fraction B: 1/7

    What to be found?
    1/4+1/7 = ?
    Find what's the sum of 1/4 and 1/7.


    step 2 Compare the denominators of fractions 1/4 and 1/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 1/7 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 1/7:
    The LCM of 4 and 7 is 28.


    step 4 Write the fractions 1/4 and 1/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/4+1/7
    =(1 x 28)/(4 x 28)+(1 x 28)/(7 x 28)


    step 5 Simplify the expression to have common denominator:
    =7/28+4/28


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/28 x (7/1+4/1)
    =1/28 x (7 + 4)


    step 7Simplify the above expression further:
    =1/28 x 11
    =11/28
    1/4+1/7=11/28

    Hence,
    1/4 plus 1/7 equals to 11/28 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: 1/7

    What to be found?
    1/4+1/7 = ?
    Find what's the sum of 1/4 and 1/7.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 7), 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 7) and rewrite the equation as like the below:
    = (1 x 7) + (1 x 4)/(4 x 7)

    step 3 Simplify and rewrite the fraction:
    = (7 + 4)/28
    1/4+1/7 = 11/28
    Hence,
    1/4 plus 1/7 = 11/28

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