Calculators & Converters

    What is 1/4 plus 1/8?

    Fraction Calculator

    1/4 + 1/8 as a fraction provides the detailed information about what is the sum of 1/4 and 1/8 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/4+1/8 equals to
    1/4 + 1/8 = 3/8
    Hence, 1/4 + 1/8 is equal to 3/8.
    where
    1/4 is a fraction as an addend,
    1/8 is a fraction as an addend,
    3/8 is the sum of 1/4 and 1/8.

    1/4 plus 1/8 as a decimal
    1/4 + 1/8 = 3/8
    3/8 = 0.375
    Hence, 1/4+1/8 can be written as 0.375 in decimal.
    where
    0.375 is the sum of 1/4 and 1/8.

    For values other than 1/4 plus 1/8, use this below tool:

    How-to: 1/4 + 1/8 = ?

    The below workout with step by step calculation for adding 1/4 to 1/8 shows how to find what is the sum of 1/4 and 1/8. The sum of fractions 1/4 plus 1/8 can be obtained by using anyone of the two methods below:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 1/4 plus 1/8 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/4
    Fraction B: 1/8

    What to be found?
    1/4+1/8 = ?
    Find what's the sum of 1/4 and 1/8.


    step 2 Compare the denominators of fractions 1/4 and 1/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 1/8 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 1/8:
    The LCM of 4 and 8 is 8.


    step 4 Write the fractions 1/4 and 1/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/4+1/8
    =(1 x 8)/(4 x 8)+(1 x 8)/(8 x 8)


    step 5 Simplify the expression to have common denominator:
    =2/8+1/8


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/8 x (2/1+1/1)
    =1/8 x (2 + 1)


    step 7Simplify the above expression further:
    =1/8 x 3
    =3/8
    1/4+1/8=3/8

    Hence,
    1/4 plus 1/8 equals to 3/8 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: 1/8

    What to be found?
    1/4+1/8 = ?
    Find what's the sum of 1/4 and 1/8.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 8), 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 8) and rewrite the equation as like the below:
    = (1 x 8) + (1 x 4)/(4 x 8)

    step 3 Simplify and rewrite the fraction:
    = (8 + 4)/32
    = 12/32
    = 3/8
    1/4+1/8 = 3/8
    Hence,
    1/4 plus 1/8 = 3/8

    getcalc.com Calculators