UNIT RATE
Definition Of Unit Rate
Unit Rate is the ratio of two measurements in which the second term is 1.
More About Unit of Measurement
The two measurements involved for which ratio are taken in unit rate is always different.
Example of Unit Rate
If Nancy earns $180 in 20 hours, then unit rate of her earning is given as 180/20 = $9 per hour.
Video Examples: Unit Rate
Solved Example on Unit Rate
Ques: William can pack 60 toys in 4 hours. Find the unit rate with which he packs toys.
Choices:
A. 16 toys/hour
B. 15 toys/hour
C. 14 toys/hour
D. 13 toys/hour
Correct Answer: B
Solution:
Step 1: Unit rate is a ratio of different units of measurement with the second term being equal to 1.
Step 2: So, Unit Rate = toys/hours =60/40
Step 3: = 
[Divide both the numerator and the denominator by the denominator.]
Step 4: =15/1 = 15 [Simplify.]
Step 5: So, William can pack 15 toys/hour.
Quick Summary
- Unit rate compares two different quantities.
- The denominator of a unit rate is always 1.
- Unit rates are used to find the cost per item, speed, earnings per hour, etc.
🍎 Teacher Insights
Use real-world examples to illustrate the concept. Have students find unit rates from advertisements or recipes. Emphasize the importance of including units in the answer.🎓 Prerequisites
- Ratios
- Fractions
- Division
Check Your Knowledge
Q1: What is the unit rate if you travel 120 miles in 2 hours?
Q2: If 3 apples cost $1.50, what is the unit rate (cost per apple)?
Frequently Asked Questions
Q: What is the difference between a rate and a unit rate?
A: A rate compares two quantities with different units. A unit rate is a rate where the second quantity is 1.
Q: How do I calculate unit rate?
A: Divide the first quantity by the second quantity to get a denominator of 1.