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    5/7 plus 2/6 as a fraction

    Fraction Addition Calculator

    5/7 + 2/6 as a fraction provides the detailed information about what is 5/7 plus 2/6 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    5/7+2/6 equals to
    5/7 + 2/6 = (?)
    5/7 + 2/6 = [(5 x 6) + (2 x 7)]/(7 x 6)
    = (30 + 14)/42
    = 44/42
    = (2 x 22)/(2 x 21)
    = 22/21
    5/7 + 2/6 = 22/21
    5/7 plus 2/6 is equal to 22/21

    where
    5/7 is a fraction as an addend,
    2/6 is a fraction as an addend,
    22/21 is the sum of 5/7 and 2/6.

    5/7 plus 2/6 as a decimal
    5/7 + 2/6 = 22/21
    22/21 = 1.0476
    5/7+2/6 as a decimal is 1.0476
    where
    1.0476 is the sum of 5/7 and 2/6.

    For values other than 5/7 plus 2/6, use this below tool:

    How-to: 5/7 + 2/6 = ?

    The below workout with step by step calculation shows how to find what is 5/7 plus 2/6 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 5/7 plus 2/6 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 5/7
    Fraction B: 2/6

    What to be found?
    5/7+2/6 = ?
    Find what's the sum of 5/7 and 2/6.


    step 2 Compare the denominators of fractions 5/7 and 2/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/7 and 2/6 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 5/7 and 2/6:
    The LCM of 7 and 6 is 42.


    step 4 Write the fractions 5/7 and 2/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =5/7+2/6
    =(5 x 42)/(7 x 42)+(2 x 42)/(6 x 42)


    step 5 Simplify the expression to have common denominator:
    =30/42+14/42


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/42 x (30/1+14/1)
    =1/42 x (30 + 14)


    step 7Simplify the above expression further:
    =1/42 x 44
    = 44/42
    =22/21
    5/7+2/6=22/21

    Hence,
    5/7 plus 2/6 equals to 22/21 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 5/7
    Fraction B: 2/6

    What to be found?
    5/7+2/6 = ?
    Find what's the sum of 5/7 and 2/6.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 6), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 6) and rewrite the equation as like the below:
    = (5 x 6) + (2 x 7)/(7 x 6)

    step 3 Simplify and rewrite the fraction:
    = (30 + 14)/42
    = 44/42
    = 22/21
    5/7+2/6 = 22/21
    Hence,
    5/7 plus 2/6 = 22/21

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