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    3/7 plus 1/9 as a fraction

    Fraction Addition Calculator

    3/7 + 1/9 as a fraction provides the detailed information about what is 3/7 plus 1/9 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    3/7+1/9 equals to
    3/7 + 1/9 = (?)
    3/7 + 1/9 = [(3 x 9) + (1 x 7)]/(7 x 9)
    = (27 + 7)/63
    = 34/63
    3/7 + 1/9 = 34/63
    3/7 plus 1/9 is equal to 34/63

    where
    3/7 is a fraction as an addend,
    1/9 is a fraction as an addend,
    34/63 is the sum of 3/7 and 1/9.

    3/7 plus 1/9 as a decimal
    3/7 + 1/9 = 34/63
    34/63 = 0.5397
    3/7+1/9 as a decimal is 0.5397
    where
    0.5397 is the sum of 3/7 and 1/9.

    For values other than 3/7 plus 1/9, use this below tool:

    How-to: 3/7 + 1/9 = ?

    The below workout with step by step calculation shows how to find what is 3/7 plus 1/9 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 1/9 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/7
    Fraction B: 1/9

    What to be found?
    3/7+1/9 = ?
    Find what's the sum of 3/7 and 1/9.


    step 2 Compare the denominators of fractions 3/7 and 1/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/7 and 1/9 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 1/9:
    The LCM of 7 and 9 is 63.


    step 4 Write the fractions 3/7 and 1/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =3/7+1/9
    =(3 x 63)/(7 x 63)+(1 x 63)/(9 x 63)


    step 5 Simplify the expression to have common denominator:
    =27/63+7/63


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/63 x (27/1+7/1)
    =1/63 x (27 + 7)


    step 7Simplify the above expression further:
    =1/63 x 34
    =34/63
    3/7+1/9=34/63

    Hence,
    3/7 plus 1/9 equals to 34/63 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: 1/9

    What to be found?
    3/7+1/9 = ?
    Find what's the sum of 3/7 and 1/9.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 9), 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 9) and rewrite the equation as like the below:
    = (3 x 9) + (1 x 7)/(7 x 9)

    step 3 Simplify and rewrite the fraction:
    = (27 + 7)/63
    3/7+1/9 = 34/63
    Hence,
    3/7 plus 1/9 = 34/63

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