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    1/4 plus 1/5 as a fraction

    Fraction Addition Calculator

    1/4 + 1/5 as a fraction provides the detailed information about what is 1/4 plus 1/5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/4+1/5 equals to
    1/4 + 1/5 = (?)
    1/4 + 1/5 = [(1 x 5) + (1 x 4)]/(4 x 5)
    = (5 + 4)/20
    = 9/20
    1/4 + 1/5 = 9/20
    1/4 plus 1/5 is equal to 9/20

    where
    1/4 is a fraction as an addend,
    1/5 is a fraction as an addend,
    9/20 is the sum of 1/4 and 1/5.

    1/4 plus 1/5 as a decimal
    1/4 + 1/5 = 9/20
    9/20 = 0.45
    1/4+1/5 as a decimal is 0.45
    where
    0.45 is the sum of 1/4 and 1/5.

    For values other than 1/4 plus 1/5, use this below tool:

    How-to: 1/4 + 1/5 = ?

    The below workout with step by step calculation shows how to find what is 1/4 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 1/4 plus 1/5 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/4
    Fraction B: 1/5

    What to be found?
    1/4+1/5 = ?
    Find what's the sum of 1/4 and 1/5.


    step 2 Compare the denominators of fractions 1/4 and 1/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 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 1/4 and 1/5:
    The LCM of 4 and 5 is 20.


    step 4 Write the fractions 1/4 and 1/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/4+1/5
    =(1 x 20)/(4 x 20)+(1 x 20)/(5 x 20)


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


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/20 x (5/1+4/1)
    =1/20 x (5 + 4)


    step 7Simplify the above expression further:
    =1/20 x 9
    =9/20
    1/4+1/5=9/20

    Hence,
    1/4 plus 1/5 equals to 9/20 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: 1/5

    What to be found?
    1/4+1/5 = ?
    Find what's the sum of 1/4 and 1/5.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 5), find the product of numerator of Fraction B and denominator of Fraction A (1 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 5) and rewrite the equation as like the below:
    = (1 x 5) + (1 x 4)/(4 x 5)

    step 3 Simplify and rewrite the fraction:
    = (5 + 4)/20
    1/4+1/5 = 9/20
    Hence,
    1/4 plus 1/5 = 9/20

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