Calculators & Converters

    1/4 plus 3/12 as a fraction

    Fraction Addition Calculator

    1/4 + 3/12 as a fraction provides the detailed information about what is 1/4 plus 3/12 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/4+3/12 equals to
    1/4 + 3/12 = (?)
    1/4 + 3/12 = [(1 x 12) + (3 x 4)]/(4 x 12)
    = (12 + 12)/48
    = 24/48
    = (24 x 1)/(24 x 2)
    = 1/2
    1/4 + 3/12 = 1/2
    1/4 plus 3/12 is equal to 1/2

    where
    1/4 is a fraction as an addend,
    3/12 is a fraction as an addend,
    1/2 is the sum of 1/4 and 3/12.

    1/4 plus 3/12 as a decimal
    1/4 + 3/12 = 1/2
    1/2 = 0.5
    1/4+3/12 as a decimal is 0.5
    where
    0.5 is the sum of 1/4 and 3/12.

    For values other than 1/4 plus 3/12, use this below tool:

    How-to: 1/4 + 3/12 = ?

    The below workout with step by step calculation shows how to find what is 1/4 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 1/4 plus 3/12 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/4
    Fraction B: 3/12

    What to be found?
    1/4+3/12 = ?
    Find what's the sum of 1/4 and 3/12.


    step 2 Compare the denominators of fractions 1/4 and 3/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 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 1/4 and 3/12:
    The LCM of 4 and 12 is 12.


    step 4 Write the fractions 1/4 and 3/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/4+3/12
    =(1 x 12)/(4 x 12)+(3 x 12)/(12 x 12)


    step 5 Simplify the expression to have common denominator:
    =3/12+3/12


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/12 x (3/1+3/1)
    =1/12 x (3 + 3)


    step 7Simplify the above expression further:
    =1/12 x 6
    = 6/12
    =1/2
    1/4+3/12=1/2

    Hence,
    1/4 plus 3/12 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: 1/4
    Fraction B: 3/12

    What to be found?
    1/4+3/12 = ?
    Find what's the sum of 1/4 and 3/12.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 12), find the product of numerator of Fraction B and denominator of Fraction A (3 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 12) and rewrite the equation as like the below:
    = (1 x 12) + (3 x 4)/(4 x 12)

    step 3 Simplify and rewrite the fraction:
    = (12 + 12)/48
    = 24/48
    = 1/2
    1/4+3/12 = 1/2
    Hence,
    1/4 plus 3/12 = 1/2

    getcalc.com Calculators