Calculators & Converters

    3/7 plus 3 as a fraction

    Fraction Addition Calculator

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

    3/7+3 equals to
    3/7 + 3 = (?)
    3/7 + 3/1 = [(3 x 1) + (3 x 7)]/(7 x 1)
    = (3 + 21)/7
    = 24/7
    3/7 + 3 = 24/7
    3/7 plus 3 is equal to 24/7

    where
    3/7 is a fraction as an addend,
    3 is a fraction as an addend,
    24/7 is the sum of 3/7 and 3.

    3/7 plus 3 as a decimal
    3/7 + 3 = 24/7
    24/7 = 3.4286
    3/7+3 as a decimal is 3.4286
    where
    3.4286 is the sum of 3/7 and 3.

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

    How-to: 3/7 + 3 = ?

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

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

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


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


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


    step 5 Simplify the expression to have common denominator:
    =3/7+21/7


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/7 x (3/1+21/1)
    =1/7 x (3 + 21)


    step 7Simplify the above expression further:
    =1/7 x 24
    =24/7
    3/7+3=24/7

    Hence,
    3/7 plus 3 equals to 24/7 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: 3/1

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

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

    step 3 Simplify and rewrite the fraction:
    = (3 + 21)/7
    3/7+3 = 24/7
    Hence,
    3/7 plus 3 = 24/7

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