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    5/6 plus 3/10 as a fraction

    Fraction Addition Calculator

    5/6 + 3/10 as a fraction provides the detailed information about what is 5/6 plus 3/10 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    5/6+3/10 equals to
    5/6 + 3/10 = (?)
    5/6 + 3/10 = [(5 x 10) + (3 x 6)]/(6 x 10)
    = (50 + 18)/60
    = 68/60
    = (4 x 17)/(4 x 15)
    = 17/15
    5/6 + 3/10 = 17/15
    5/6 plus 3/10 is equal to 17/15

    where
    5/6 is a fraction as an addend,
    3/10 is a fraction as an addend,
    17/15 is the sum of 5/6 and 3/10.

    5/6 plus 3/10 as a decimal
    5/6 + 3/10 = 17/15
    17/15 = 1.1333
    5/6+3/10 as a decimal is 1.1333
    where
    1.1333 is the sum of 5/6 and 3/10.

    For values other than 5/6 plus 3/10, use this below tool:

    How-to: 5/6 + 3/10 = ?

    The below workout with step by step calculation shows how to find what is 5/6 plus 3/10 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 5/6 plus 3/10 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 5/6
    Fraction B: 3/10

    What to be found?
    5/6+3/10 = ?
    Find what's the sum of 5/6 and 3/10.


    step 2 Compare the denominators of fractions 5/6 and 3/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/6 and 3/10 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 5/6 and 3/10:
    The LCM of 6 and 10 is 30.


    step 4 Write the fractions 5/6 and 3/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =5/6+3/10
    =(5 x 30)/(6 x 30)+(3 x 30)/(10 x 30)


    step 5 Simplify the expression to have common denominator:
    =25/30+9/30


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/30 x (25/1+9/1)
    =1/30 x (25 + 9)


    step 7Simplify the above expression further:
    =1/30 x 34
    = 34/30
    =17/15
    5/6+3/10=17/15

    Hence,
    5/6 plus 3/10 equals to 17/15 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 5/6
    Fraction B: 3/10

    What to be found?
    5/6+3/10 = ?
    Find what's the sum of 5/6 and 3/10.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 10), find the product of numerator of Fraction B and denominator of Fraction A (3 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 10) and rewrite the equation as like the below:
    = (5 x 10) + (3 x 6)/(6 x 10)

    step 3 Simplify and rewrite the fraction:
    = (50 + 18)/60
    = 68/60
    = 17/15
    5/6+3/10 = 17/15
    Hence,
    5/6 plus 3/10 = 17/15

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