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Fractions and GCD

Simplifying Ratios: Problem: Express in simplest form the ratio of 36 yards to 40 yards. Solution: Divide both numbers by their greatest common divisor (GCD). In this case, the GCD of 36 and 40 is 4. 36 36 ÷ 4 40 ÷ 4 = 9 1 Tip: The simplified ratio is 9:10. Calculating Shares: Problem: A couple earned $8800, and their shares are in the ratio 5:3. Find the smallest and largest shares. Solution: Smallest Share: Use the ratio to divide the earnings. Smallest share fraction: 3 5 + 3 = 3 8 \frac{3}{5+3} = \frac{3}{8} ​ Smallest share amount: 3 8 × 8800 Largest Share: Largest share fraction: 5 5 + 3 = 5 8 \frac{5}{5+3} = \frac{5}{8} ​ Largest share amount: 5 8 × 8800 Storage Fee Calculation: Problem: UMA farmers charged $64 for every 900 tons of products. Calculate the storage fee per ton and round to the nearest hundredth. Solution: Storage fee per ton: 64 900 Rounded fee: $0.07 per ton. Defective Engine Calculation: Problem: An automobile assembly plant produced 243 engines, of whic...