RATIO

Ratio

Definition Of Ratio

A ratio is a comparison of two numbers by division.

Examples of Ratio

4 : 7, 1 : 6, 10 : 3 etc. are examples of ratio.
Any ratio a : b can also be written as ‘a to b’ or .

Video Examples: Introduction to Ratios

Solved Example on Ratio

Ques: Write the ratio 32 ounce to 3 pounds in its simplest form.

Choices:

A. 2:3
B. 3:2
C. 4:2
D. 2:4
Correct Answer: A

Solution:

Step 1: [Convert pounds to ounces in order have matching units.]
Step 2: [Divide the numerator and the denominator by the G.C.F, 16.]
Step 3: The ratio of 32 ounces to 3 pounds is 2:3.

Quick Summary

Ratios compare two quantities.
Ratios can be written as a:b, a to b, or a/b.
Ratios should often be simplified to their lowest terms.

\[ a:b \equiv \frac{a}{b} \]

🍎 Teacher Insights

Use real-world examples and visual aids to illustrate ratios. Emphasize the importance of units and simplification.

🎓 Prerequisites

Basic Arithmetic
Division

Check Your Knowledge

Q1: What is the ratio of 12 apples to 18 oranges in simplest form?

A. 12:18 B. 6:9 C. 2:3 D. 4:6

Q2: Express the ratio 25:100 in its simplest form.

A. 25:100 B. 5:20 C. 1:4 D. 10:40

Frequently Asked Questions

Q: What is the difference between a ratio and a fraction?
A: A ratio compares any two quantities, while a fraction represents a part of a whole.

Q: How do you simplify a ratio?
A: Divide both parts of the ratio by their greatest common factor (GCF).