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    5/8 plus 3/5 as a fraction

    Fraction Addition Calculator

    5/8 + 3/5 as a fraction provides the detailed information about what is 5/8 plus 3/5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    5/8+3/5 equals to
    5/8 + 3/5 = (?)
    5/8 + 3/5 = [(5 x 5) + (3 x 8)]/(8 x 5)
    = (25 + 24)/40
    = 49/40
    5/8 + 3/5 = 49/40
    5/8 plus 3/5 is equal to 49/40

    where
    5/8 is a fraction as an addend,
    3/5 is a fraction as an addend,
    49/40 is the sum of 5/8 and 3/5.

    5/8 plus 3/5 as a decimal
    5/8 + 3/5 = 49/40
    49/40 = 1.225
    5/8+3/5 as a decimal is 1.225
    where
    1.225 is the sum of 5/8 and 3/5.

    For values other than 5/8 plus 3/5, use this below tool:

    How-to: 5/8 + 3/5 = ?

    The below workout with step by step calculation shows how to find what is 5/8 plus 3/5 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 5/8 plus 3/5 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 5/8
    Fraction B: 3/5

    What to be found?
    5/8+3/5 = ?
    Find what's the sum of 5/8 and 3/5.


    step 2 Compare the denominators of fractions 5/8 and 3/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/8 and 3/5 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 5/8 and 3/5:
    The LCM of 8 and 5 is 40.


    step 4 Write the fractions 5/8 and 3/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =5/8+3/5
    =(5 x 40)/(8 x 40)+(3 x 40)/(5 x 40)


    step 5 Simplify the expression to have common denominator:
    =25/40+24/40


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/40 x (25/1+24/1)
    =1/40 x (25 + 24)


    step 7Simplify the above expression further:
    =1/40 x 49
    =49/40
    5/8+3/5=49/40

    Hence,
    5/8 plus 3/5 equals to 49/40 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 5/8
    Fraction B: 3/5

    What to be found?
    5/8+3/5 = ?
    Find what's the sum of 5/8 and 3/5.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 5), find the product of numerator of Fraction B and denominator of Fraction A (3 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 5) and rewrite the equation as like the below:
    = (5 x 5) + (3 x 8)/(8 x 5)

    step 3 Simplify and rewrite the fraction:
    = (25 + 24)/40
    5/8+3/5 = 49/40
    Hence,
    5/8 plus 3/5 = 49/40

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