1/4 Plus 1/8 In Fraction

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 1/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 1/8 can be obtained by using anyone of the two methods below.1. LCM method 2. Cross multiplication method.

1/4+1/8 using 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: 1/4Fraction B: 1/8What 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.

1/4+1/8 using Cross Multiplication Method: step 1 Observe the input parameters and what to be found:Input:Fraction A: 1/4Fraction B: 1/8What 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 = 3/8Hence, 1/4 plus 1/8 = 3/8