Rational Multiplication/Division Worksheets Grade 7

1. A rectangular garden is drawn on a coordinate plane with vertices at (2, 1), (8, 1), (8, 5), and (2, 5). If the gardener plants flowers in a triangular section with vertices at (2, 1), (8, 1), and (5, 5), what fraction of the garden's total area is occupied by the flower section?
2. A rectangular prism-shaped shipping container has dimensions 12 meters long, 8 meters wide, and 6 meters tall. The container is filled with identical cube-shaped boxes that each measure 2 meters on all sides. If the boxes are arranged in a grid pattern filling the entire container with no gaps, how many cube-shaped boxes can fit inside the shipping container?
3. -3/4 × 2/5 ÷ (-1/2) = ?

…and 4 more problems

1. A rectangular swimming pool is drawn on a coordinate plane with vertices at (0, 0), (20, 0), (20, 12), and (0, 12). A triangular shallow end is marked off with vertices at (0, 0), (8, 0), and (0, 12). What is the area of the deep end section of the pool?
2. (-3/4) × (8/9) ÷ (-2/3) = ?
3. A construction company needs to calculate the total area of a rectangular plot of land that is 3/4 of a mile long and 2/5 of a mile wide. They also need to determine how many sections they can divide it into if each section must be exactly 1/10 of a square mile. What is the total area of the plot, and how many sections can they create?

…and 4 more problems

1. Noah is an underwater archaeologist exploring a sunken shipwreck. He starts at the surface and descends at a rate of -7.5 feet per minute. After 12 minutes, he reaches the wreck. He then ascends at a rate of 4.8 feet per minute. How many minutes will it take Noah to ascend back to the surface from the wreck?
2. Emma is planning a school fundraiser and needs to calculate the total amount of juice required. She expects 240 students to attend, and each student will be served 3/4 of a cup of juice. The juice comes in large containers that each hold 5 1/2 gallons. If there are 16 cups in a gallon, how many full containers of juice should Emma order?
3. Emma is planning a school fundraiser and needs to mix two different types of juice. She has 3 1/2 liters of orange juice that costs $2.40 per liter and 2 3/4 liters of pineapple juice that costs $1.80 per liter. After mixing them together, she will sell the blend in 250-milliliter cups. If she wants to make a 40% profit on her total cost, what should be the selling price per cup?

…and 3 more problems