Adding Three Fractions - Maths Online Tutoring

Adding Three Fractions - Maths Online Tutoring A fraction will always be a form of a / b where b cannot divide a completely and b 0. Fraction is also known as rational number. Steps to add three fractions: - Suppose if we wants to add three fractions 4/9, 2/3, 1/6. Step 1:- Find the L. C.M. of the denominators 9, 3 and 6. Factors of 9 = 3 * 3 Factors of 3 = 3 Factors of 6 = 3 * 2 At first find the common of all three numbers which is 3 and other two numbers 3 and 2 which are left. Product of 3, 3 and 2 is 18 So Least common factor = 18. Step 2: - Divide the L.C.M. = 18 by each of the denominator 9, 3 and 6 then multiply the obtained quotient with their respective numerators. So, For the first fraction 4/9: 18/ 9= 2 and 2 * 4 = 8 For the second fraction 2/3: 18 / 3 = 6 and 6 * 2 = 12 Similarly for the third fraction: 1/ 6: 18 / 6= 3 and 3 * 1= 3 Step 3: Now add 8, 12 and 3 which gives 23 Step 4: 23/ 18 Another example:- Simplify 1 / 2 + 3 / 8 + 5 / 6. Solution: - 1 / 2 + 3 / 8 + 5 / 6.=(1 * 12 + 3 * 3 + 5 * 4) / 24 = (12 + 9 + 20) /24 = 41 / 24