1. A provincial warehouse allocated 8 tons of rice for emergency distribution. Only 3/4 of the supply was approved for immediate release. How many tons of rice were released?
8 × 3/4
8 = 8/1
8/1 × 3/4 = 24/4
Final Answer: 6 tons
2. A regional office used 5/6 of its emergency fuel reserve. Of that portion, 3/4 was assigned to rescue vehicles. What fraction of the original reserve was used?
5/6 × 3/4
15/24
Simplify:
15/24 = 5/8
Final Answer: 5/8
3. A construction unit prepared 2 1/2 tons of cement mixture. A reinforcement project required 1 3/4 times that amount. How many tons were needed?
2 1/2 × 1 3/4
Convert to improper fractions
5/2 × 7/4 = 35/8
35 ÷ 8 = 4 remainder 3
Final Answer: 4 3/8
4. A disaster warehouse has 6 tons of rice. Each evacuation center receives 3/4 ton. How many centers can be supplied?
6 ÷ 3/4
Multiply by reciprocal
6 × 4/3
24/3 = 8
Final Answer: 8
5. A medical unit has 5/6 ton of medicine stock. Each clinic requires 1/3 ton. How many clinics can be supplied?
5/6 ÷ 1/3
Multiply by reciprocal
5/6 × 3/1 = 15/6
15/6 = 2 1/2
Final Answer: 2 1/2
6. A relief team has 4 1/2 tons of food supplies. Each truck carries 1 1/2 tons. How many truckloads can be delivered?
4 1/2 ÷ 1 1/2
9/2 ÷ 3/2
Multiply by reciprocal
9/2 × 2/3 = 18/6
18/6 = 3
Final Answer: 3