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    12/5 plus 3/12 as a fraction

    Fraction Addition Calculator

    12/5 + 3/12 as a fraction provides the detailed information about what is 12/5 plus 3/12 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    12/5+3/12 equals to
    12/5 + 3/12 = (?)
    12/5 + 3/12 = [(12 x 12) + (3 x 5)]/(5 x 12)
    = (144 + 15)/60
    = 159/60
    = (3 x 53)/(3 x 20)
    = 53/20
    12/5 + 3/12 = 53/20
    12/5 plus 3/12 is equal to 53/20

    where
    12/5 is a fraction as an addend,
    3/12 is a fraction as an addend,
    53/20 is the sum of 12/5 and 3/12.

    12/5 plus 3/12 as a decimal
    12/5 + 3/12 = 53/20
    53/20 = 2.65
    12/5+3/12 as a decimal is 2.65
    where
    2.65 is the sum of 12/5 and 3/12.

    For values other than 12/5 plus 3/12, use this below tool:

    How-to: 12/5 + 3/12 = ?

    The below workout with step by step calculation shows how to find what is 12/5 plus 3/12 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 12/5 plus 3/12 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 12/5
    Fraction B: 3/12

    What to be found?
    12/5+3/12 = ?
    Find what's the sum of 12/5 and 3/12.


    step 2 Compare the denominators of fractions 12/5 and 3/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/5 and 3/12 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 12/5 and 3/12:
    The LCM of 5 and 12 is 60.


    step 4 Write the fractions 12/5 and 3/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =12/5+3/12
    =(12 x 60)/(5 x 60)+(3 x 60)/(12 x 60)


    step 5 Simplify the expression to have common denominator:
    =144/60+15/60


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/60 x (144/1+15/1)
    =1/60 x (144 + 15)


    step 7Simplify the above expression further:
    =1/60 x 159
    = 159/60
    =53/20
    12/5+3/12=53/20

    Hence,
    12/5 plus 3/12 equals to 53/20 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 12/5
    Fraction B: 3/12

    What to be found?
    12/5+3/12 = ?
    Find what's the sum of 12/5 and 3/12.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 12), find the product of numerator of Fraction B and denominator of Fraction A (3 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 12) and rewrite the equation as like the below:
    = (12 x 12) + (3 x 5)/(5 x 12)

    step 3 Simplify and rewrite the fraction:
    = (144 + 15)/60
    = 159/60
    = 53/20
    12/5+3/12 = 53/20
    Hence,
    12/5 plus 3/12 = 53/20

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