Unit Rates With Fractions

Grade 7 · Proportion · Page 1 of 2

Name Date
DIRECTIONS: Find each rate for ONE — divide by the amount after “per”.
Example: 34 of a mile in 14 of an hour: 34 ÷ 14 = 34 × 41 = 3 miles per hour.
Part A — Find the unit rate.
1.
Dev jogs 513 miles in 23 of an hour.
Work
miles per hour
2.
34 inch of snow fell in 14 of an hour.
Work
inches per hour
3.
A pipe puts 223 gallons into a tank in 13 of a minute.
Work
gallons per minute
4.
Mom used 118 cups of sugar making 34 of a batch of granola.
Work
cups per batch
5.
A mower covers 34 acre in 12 of an hour.
Work
acres per hour
6.
A wedge of cheese weighing 14 pound costs $1.00.
Work
dollars per pound

Unit Rates With Fractions — continued

Grade 7 · Proportion · Page 2 of 2

Part B — Which is the better buy? Write both rates.
  1. Cheddar is sold two ways: 12 pound for $6.00, or 134 pounds for $17.50. Which is the better buy?
    Show your work
  2. A 112-pound bag of coffee costs $12.00. A 3-pound bag costs $30.00. Which bag is the better buy?
    Show your work
  3. Ribbon comes in a 34-yard roll for $8.25 and a 112-yard roll for $15.00. Which roll is the better buy?
    Show your work
Part C — Explain it.
  1. A recipe uses 23 of a cup of oats for 12 of a serving. Jordan works out 12 ÷ 23 = 34 and writes “3/4 cups per serving.” His division is correct. His answer is not. Which words in the question decide which number goes underneath, and what is the right rate?
  2. In Part A, every answer came out BIGGER than the amount you started with. Priya says at least one of them must be wrong, because dividing makes numbers smaller. Explain why every one of them is right.