1/2 Plus 1/3 In Fraction

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

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

1/2+1/3 using Cross Multiplication Method: step 1 Observe the input parameters and what to be found:Input:Fraction A: 1/2Fraction B: 1/3What to be found? 1/2+1/3 = ? Find what's the sum of 1/2 and 1/3. step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 3), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 3) and rewrite the equation as like the below: = (1 x 3) + (1 x 2)/(2 x 3) step 3 Simplify and rewrite the fraction: = (3 + 2)/61/2+1/3 = 5/6Hence, 1/2 plus 1/3 = 5/6