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    6/7 plus 1/3 as a fraction

    Fraction Addition Calculator

    6/7 + 1/3 as a fraction provides the detailed information about what is 6/7 plus 1/3 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    6/7+1/3 equals to
    6/7 + 1/3 = (?)
    6/7 + 1/3 = [(6 x 3) + (1 x 7)]/(7 x 3)
    = (18 + 7)/21
    = 25/21
    6/7 + 1/3 = 25/21
    6/7 plus 1/3 is equal to 25/21

    where
    6/7 is a fraction as an addend,
    1/3 is a fraction as an addend,
    25/21 is the sum of 6/7 and 1/3.

    6/7 plus 1/3 as a decimal
    6/7 + 1/3 = 25/21
    25/21 = 1.1905
    6/7+1/3 as a decimal is 1.1905
    where
    1.1905 is the sum of 6/7 and 1/3.

    For values other than 6/7 plus 1/3, use this below tool:

    How-to: 6/7 + 1/3 = ?

    The below workout with step by step calculation shows how to find what is 6/7 plus 1/3 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 6/7 plus 1/3 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 6/7
    Fraction B: 1/3

    What to be found?
    6/7+1/3 = ?
    Find what's the sum of 6/7 and 1/3.


    step 2 Compare the denominators of fractions 6/7 and 1/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/7 and 1/3 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 6/7 and 1/3:
    The LCM of 7 and 3 is 21.


    step 4 Write the fractions 6/7 and 1/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =6/7+1/3
    =(6 x 21)/(7 x 21)+(1 x 21)/(3 x 21)


    step 5 Simplify the expression to have common denominator:
    =18/21+7/21


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/21 x (18/1+7/1)
    =1/21 x (18 + 7)


    step 7Simplify the above expression further:
    =1/21 x 25
    =25/21
    6/7+1/3=25/21

    Hence,
    6/7 plus 1/3 equals to 25/21 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 6/7
    Fraction B: 1/3

    What to be found?
    6/7+1/3 = ?
    Find what's the sum of 6/7 and 1/3.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 3), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 3) and rewrite the equation as like the below:
    = (6 x 3) + (1 x 7)/(7 x 3)

    step 3 Simplify and rewrite the fraction:
    = (18 + 7)/21
    6/7+1/3 = 25/21
    Hence,
    6/7 plus 1/3 = 25/21

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