Add the following mixed numbers: a) 5 rac13 + 1 rac24 b) 4 rac35 + 3 rac46

Welcome back Sanele — been a while! Let's pick up where you left off. Here are the solutions for adding the fractions: a) 5(1)/(3) + 1(2)/(4) Step 1: Add the whole numbers and find a common denominator for the fractions. 5 + 1 = 6 The denominators are 3 and 4. The least common multiple of 3 and 4 is 12. Convert the fractions: (1)/(3) = (1 × 4)/(3 × 4) = (4)/(12) (2)/(4) = (2 × 3)/(4 × 3) = (6)/(12) Step 2: Add the fractions. (4)/(12) + (6)/(12) = (4+6)/(12) = (10)/(12) Step 3: Combine the whole number and the fraction, then simplify the fraction. 6 + (10)/(12) = 6(10)/(12) Divide the numerator and denominator of the fraction by their greatest common divisor, which is 2. (10 ÷ 2)/(12 ÷ 2) = (5)/(6) So, the mixed number is 6(5)/(6). 6(5)/(6) b) 4(3)/(5) + 3(4)/(6) Step 1: Add the whole numbers and find a common denominator for the fractions. 4 + 3 = 7 The denominators are 5 and 6. The least common multiple of 5 and 6 is 30. Convert the fractions: (3)/(5) = (3 × 6)/(5 × 6) = (18)/(30) (4)/(6) = (4 × 5)/(6 × 5) = (20)/(30) Step 2: Add the fractions. (18)/(30) + (20)/(30) = (18+20)/(30) = (38)/(30) Step 3: Convert the improper fraction to a mixed number. (38)/(30) = 1(8)/(30) Step 4: Add this mixed number to the sum of the whole numbers. 7 + 1(8)/(30) = 8(8)/(30) Step 5: Simplify the fraction part. Divide the numerator and denominator by their greatest common divisor, which is 2. (8 ÷ 2)/(30 ÷ 2) = (4)/(15) So, the final answer is 8(4)/(15). 8(4)/(15) c) 1(9)/(12) + 12(1)/(4) Step 1: Add the whole numbers and find a common denominator for the fractions. 1 + 12 = 13 The denominators are 12 and 4. The least common multiple of 12 and 4 is 12. Convert the fractions: (9)/(12) (1)/(4) = (1 × 3)/(4 × 3) = (3)/(12) Step 2: Add the fractions. (9)/(12) + (3)/(12) = (9+3)/(12) = (12)/(12) Step 3: Simplify the fraction. (12)/(12) = 1 Step 4: Add this whole number to the sum of the whole numbers from Step 1. 13 + 1 = 14 14 Drop the next question! 📸