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    3/10 plus 1/5 as a fraction

    Fraction Addition Calculator

    3/10 + 1/5 as a fraction provides the detailed information about what is 3/10 plus 1/5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    3/10+1/5 equals to
    3/10 + 1/5 = (?)
    3/10 + 1/5 = [(3 x 5) + (1 x 10)]/(10 x 5)
    = (15 + 10)/50
    = 25/50
    = (25 x 1)/(25 x 2)
    = 1/2
    3/10 + 1/5 = 1/2
    3/10 plus 1/5 is equal to 1/2

    where
    3/10 is a fraction as an addend,
    1/5 is a fraction as an addend,
    1/2 is the sum of 3/10 and 1/5.

    3/10 plus 1/5 as a decimal
    3/10 + 1/5 = 1/2
    1/2 = 0.5
    3/10+1/5 as a decimal is 0.5
    where
    0.5 is the sum of 3/10 and 1/5.

    For values other than 3/10 plus 1/5, use this below tool:

    How-to: 3/10 + 1/5 = ?

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

    Problem and Workout - LCM Method:
    What is 3/10 plus 1/5 as a fraction?

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

    What to be found?
    3/10+1/5 = ?
    Find what's the sum of 3/10 and 1/5.


    step 2 Compare the denominators of fractions 3/10 and 1/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/10 and 1/5 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 3/10 and 1/5:
    The LCM of 10 and 5 is 10.


    step 4 Write the fractions 3/10 and 1/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =3/10+1/5
    =(3 x 10)/(10 x 10)+(1 x 10)/(5 x 10)


    step 5 Simplify the expression to have common denominator:
    =3/10+2/10


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/10 x (3/1+2/1)
    =1/10 x (3 + 2)


    step 7Simplify the above expression further:
    =1/10 x 5
    = 5/10
    =1/2
    3/10+1/5=1/2

    Hence,
    3/10 plus 1/5 equals to 1/2 in fraction.



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

    What to be found?
    3/10+1/5 = ?
    Find what's the sum of 3/10 and 1/5.

    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 (1 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 5) and rewrite the equation as like the below:
    = (3 x 5) + (1 x 10)/(10 x 5)

    step 3 Simplify and rewrite the fraction:
    = (15 + 10)/50
    = 25/50
    = 1/2
    3/10+1/5 = 1/2
    Hence,
    3/10 plus 1/5 = 1/2

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