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    3/7 plus 2/5 as a fraction

    Fraction Addition Calculator

    3/7 + 2/5 as a fraction provides the detailed information about what is 3/7 plus 2/5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    3/7+2/5 equals to
    3/7 + 2/5 = (?)
    3/7 + 2/5 = [(3 x 5) + (2 x 7)]/(7 x 5)
    = (15 + 14)/35
    = 29/35
    3/7 + 2/5 = 29/35
    3/7 plus 2/5 is equal to 29/35

    where
    3/7 is a fraction as an addend,
    2/5 is a fraction as an addend,
    29/35 is the sum of 3/7 and 2/5.

    3/7 plus 2/5 as a decimal
    3/7 + 2/5 = 29/35
    29/35 = 0.8286
    3/7+2/5 as a decimal is 0.8286
    where
    0.8286 is the sum of 3/7 and 2/5.

    For values other than 3/7 plus 2/5, use this below tool:

    How-to: 3/7 + 2/5 = ?

    The below workout with step by step calculation shows how to find what is 3/7 plus 2/5 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 3/7 plus 2/5 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/7
    Fraction B: 2/5

    What to be found?
    3/7+2/5 = ?
    Find what's the sum of 3/7 and 2/5.


    step 2 Compare the denominators of fractions 3/7 and 2/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/7 and 2/5 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 3/7 and 2/5:
    The LCM of 7 and 5 is 35.


    step 4 Write the fractions 3/7 and 2/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =3/7+2/5
    =(3 x 35)/(7 x 35)+(2 x 35)/(5 x 35)


    step 5 Simplify the expression to have common denominator:
    =15/35+14/35


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/35 x (15/1+14/1)
    =1/35 x (15 + 14)


    step 7Simplify the above expression further:
    =1/35 x 29
    =29/35
    3/7+2/5=29/35

    Hence,
    3/7 plus 2/5 equals to 29/35 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/7
    Fraction B: 2/5

    What to be found?
    3/7+2/5 = ?
    Find what's the sum of 3/7 and 2/5.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 5), 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 5) and rewrite the equation as like the below:
    = (3 x 5) + (2 x 7)/(7 x 5)

    step 3 Simplify and rewrite the fraction:
    = (15 + 14)/35
    3/7+2/5 = 29/35
    Hence,
    3/7 plus 2/5 = 29/35

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