1/3 Plus 1/4 In Fraction

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 1/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 1/4 can be obtained by using anyone of the two methods below.1. LCM method 2. Cross multiplication method.

1/3+1/4 using LCM Method: What is 1/3 plus 1/4 as a fraction?step 1 Observe the input parameters and what to be found:Input:Fraction A: 1/3Fraction B: 1/4What to be found? 1/3+1/4 = ? Find what's the sum of 1/3 and 1/4. step 2 Compare the denominators of fractions 1/3 and 1/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 1/4 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 1/3 and 1/4: The LCM of 3 and 4 is 12. step 4 Write the fractions 1/3 and 1/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions. =1/3+1/4 =(1 x 12)/(3 x 12)+(1 x 12)/(4 x 12) step 5 Simplify the expression to have common denominator: =4/12+3/12 step 6 Take the common values out and rewrite the above expression like the below: =1/12 x (4/1+3/1) =1/12 x (4 + 3)step 7Simplify the above expression further: =1/12 x 7=7/12 1/3+1/4=7/12 Hence, 1/3 plus 1/4 equals to 7/12 in fraction.

1/3+1/4 using Cross Multiplication Method: step 1 Observe the input parameters and what to be found:Input:Fraction A: 1/3Fraction B: 1/4What to be found? 1/3+1/4 = ? Find what's the sum of 1/3 and 1/4. step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 4), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 4) and rewrite the equation as like the below: = (1 x 4) + (1 x 3)/(3 x 4) step 3 Simplify and rewrite the fraction: = (4 + 3)/121/3+1/4 = 7/12Hence, 1/3 plus 1/4 = 7/12