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    3/4 plus 2/10 as a fraction

    Fraction Addition Calculator

    3/4 + 2/10 as a fraction provides the detailed information about what is 3/4 plus 2/10 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    3/4+2/10 equals to
    3/4 + 2/10 = (?)
    3/4 + 2/10 = [(3 x 10) + (2 x 4)]/(4 x 10)
    = (30 + 8)/40
    = 38/40
    = (2 x 19)/(2 x 20)
    = 19/20
    3/4 + 2/10 = 19/20
    3/4 plus 2/10 is equal to 19/20

    where
    3/4 is a fraction as an addend,
    2/10 is a fraction as an addend,
    19/20 is the sum of 3/4 and 2/10.

    3/4 plus 2/10 as a decimal
    3/4 + 2/10 = 19/20
    19/20 = 0.95
    3/4+2/10 as a decimal is 0.95
    where
    0.95 is the sum of 3/4 and 2/10.

    For values other than 3/4 plus 2/10, use this below tool:

    How-to: 3/4 + 2/10 = ?

    The below workout with step by step calculation shows how to find what is 3/4 plus 2/10 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 3/4 plus 2/10 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/4
    Fraction B: 2/10

    What to be found?
    3/4+2/10 = ?
    Find what's the sum of 3/4 and 2/10.


    step 2 Compare the denominators of fractions 3/4 and 2/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/4 and 2/10 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 3/4 and 2/10:
    The LCM of 4 and 10 is 20.


    step 4 Write the fractions 3/4 and 2/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =3/4+2/10
    =(3 x 20)/(4 x 20)+(2 x 20)/(10 x 20)


    step 5 Simplify the expression to have common denominator:
    =15/20+4/20


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/20 x (15/1+4/1)
    =1/20 x (15 + 4)


    step 7Simplify the above expression further:
    =1/20 x 19
    =19/20
    3/4+2/10=19/20

    Hence,
    3/4 plus 2/10 equals to 19/20 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/4
    Fraction B: 2/10

    What to be found?
    3/4+2/10 = ?
    Find what's the sum of 3/4 and 2/10.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 10), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 10) and rewrite the equation as like the below:
    = (3 x 10) + (2 x 4)/(4 x 10)

    step 3 Simplify and rewrite the fraction:
    = (30 + 8)/40
    = 38/40
    = 19/20
    3/4+2/10 = 19/20
    Hence,
    3/4 plus 2/10 = 19/20

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