This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the fraction division problems: 1. (1)/(7) ÷ 4 Step 1: Rewrite the whole number as a fraction. (1)/(7) ÷ (4)/(1) Step 2: Multiply by the reciprocal of the second fraction. (1)/(7) × (1)/(4) Step 3: Multiply the numerators and the denominators. (1 × 1)/(7 × 4) = (1)/(28) The final answer is (1)/(28). 2. 6 ÷ (2)/(7) Step 1: Rewrite the whole number as a fraction. (6)/(1) ÷ (2)/(7) Step 2: Multiply by the reciprocal of the second fraction. (6)/(1) × (7)/(2) Step 3: Multiply the numerators and the denominators. (6 × 7)/(1 × 2) = (42)/(2) Step 4: Simplify the fraction. (42)/(2) = 21 The final answer is 21. 3. (3)/(5) ÷ 5 Step 1: Rewrite the whole number as a fraction. (3)/(5) ÷ (5)/(1) Step 2: Multiply by the reciprocal of the second fraction. (3)/(5) × (1)/(5) Step 3: Multiply the numerators and the denominators. (3 × 1)/(5 × 5) = (3)/(25) The final answer is (3)/(25). 4. (7)/(9) ÷ (5)/(6) Step 1: Multiply by the reciprocal of the second fraction. (7)/(9) × (6)/(5) Step 2: Multiply the numerators and the denominators. (7 × 6)/(9 × 5) = (42)/(45) Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3. (42 ÷ 3)/(45 ÷ 3) = (14)/(15) The final answer is (14)/(15). 5. (10)/(13) ÷ (3)/(4) Step 1: Multiply by the reciprocal of the second fraction. (10)/(13) × (4)/(3) Step 2: Multiply the numerators and the denominators. (10 × 4)/(13 × 3) = (40)/(39) The final answer is (40)/(39). 6. 8 ÷ (5)/(8) Step 1: Rewrite the whole number as a fraction. (8)/(1) ÷ (5)/(8) Step 2: Multiply by the reciprocal of the second fraction. (8)/(1) × (8)/(5) Step 3: Multiply the numerators and the denominators. (8 × 8)/(1 × 5) = (64)/(5) The final answer is (64)/(5). 7. 3 ÷ (1)/(6) Step 1: Rewrite the whole number as a fraction. (3)/(1) ÷ (1)/(6) Step 2: Multiply by the reciprocal of the second fraction. (3)/(1) × (6)/(1) Step 3: Multiply the numerators and the denominators. (3 × 6)/(1 × 1) = (18)/(1) Step 4: Simplify the fraction. (18)/(1) = 18 The final answer is 18. 8. (3)/(4) ÷ (2)/(5) Step 1: Multiply by the reciprocal of the second fraction. (3)/(4) × (5)/(2) Step 2: Multiply the numerators and the denominators. (3 × 5)/(4 × 2) = (15)/(8) The final answer is (15)/(8). Send me the next one 📸