Rational Multiplication/Division Worksheets Grade 7

1. Hana is tracking the temperature changes during a cold snap. At midnight, the temperature was -8.4°C. By sunrise, the temperature had dropped by 3/5 of its midnight value. What was the temperature at sunrise?
2. (-3/4) × (8/9) ÷ (-1/6) = ?
3. Mere is designing a rectangular garden on a coordinate grid. The vertices of the garden are at (0, 0), (0, 60), (84, 60), and (84, 0). She wants to create a triangular flower bed with vertices at (0, 0), (84, 0), and (0, 60). The remaining area of the garden (outside the triangle) will be divided into 14 equal rectangular plots for vegetables. What is the area of each rectangular vegetable plot?

…and 3 more problems

1. -2.5 × (4.8 ÷ (-1.2)) = ?
2. Hana is a conservation officer tracking the movement of a herd of wildebeest across a river. The river current flows at a rate of -4.5 meters per second (negative means the current is moving against the herd's direction). The herd swims at a rate of 12.75 meters per second relative to the water. If the herd needs to cross a river that is 382.5 meters wide, how many seconds will it take them to cross? (Hint: The herd's effective speed is the sum of its swimming speed and the current's speed.)
3. -3/4 × (2/5 ÷ -1/10) = ?

…and 4 more problems

1. Liam is designing a rectangular garden that is 3/4 of a meter wide. The area of the garden is 2 1/4 square meters. What is the length of the garden?
2. Kaia is a marine biologist tracking the movement of a research submarine. The submarine descends at a rate of -12.5 meters per minute. After diving for 8.4 minutes, it then ascends at a rate of 5.25 meters per minute for 12 minutes. What is the submarine's final depth in meters relative to the surface? (Use negative numbers to indicate depth below the surface.)
3. A rectangular garden is drawn on a coordinate plane with vertices at (2, 1), (8, 1), (8, 5), and (2, 5). A triangular flower bed is created inside the garden by connecting the midpoints of three sides: the midpoint of the left side, the midpoint of the top side, and the midpoint of the right side. What is the area of this triangular flower bed?

…and 4 more problems