Multiplying Fractions Lesson

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In this section, we continue to learn about fractions. Our next step is to learn about multiplying fractions. How do we multiply two or more fractions together?

Multiplying Fractions:

Example 1: Find each product $$\frac{2}{3} \cdot \frac{9}{11}$$ -Each fraction is simplified

-Can we cross cancel anything? Yes a common factor of 3 between the first fraction's numerator and the second fraction's denominator $$\require{cancel}\frac{2}{\cancel{3}} \cdot \frac{\cancel{3} \cdot 3}{11}$$ $$\frac{2}{1} \cdot \frac{3}{11}$$ -Multiply the numerators together

$$2 \cdot 3 = 6$$ -Multiply the denominators together

$$1 \cdot 11 = 11$$ Result: $$\frac{6}{11}$$ $$\frac{2}{3} \cdot \frac{9}{11} = \frac{6}{11}$$

Multiplying Fractions:

- Simplify each fraction involved in the multiplication
- Setup the multiplication and look to cross cancel any common factors
- Multiply the numerators together, this gives us the numerator of the product
- Multiply the denominators together, this gives us the denominator of the product

Example 1: Find each product $$\frac{2}{3} \cdot \frac{9}{11}$$ -Each fraction is simplified

-Can we cross cancel anything? Yes a common factor of 3 between the first fraction's numerator and the second fraction's denominator $$\require{cancel}\frac{2}{\cancel{3}} \cdot \frac{\cancel{3} \cdot 3}{11}$$ $$\frac{2}{1} \cdot \frac{3}{11}$$ -Multiply the numerators together

$$2 \cdot 3 = 6$$ -Multiply the denominators together

$$1 \cdot 11 = 11$$ Result: $$\frac{6}{11}$$ $$\frac{2}{3} \cdot \frac{9}{11} = \frac{6}{11}$$

Multiplying Fractions Resources:

Videos:

Khan Academy - Video
Virtual Nerd - Video
Math Antics - YouTube - Video
Text Lessons:

Math is Fun - Text Lesson
Khan Academy - Text Lesson
Purple Math - Text Lesson
Worksheets:

Math-Aids - Worksheet
K5 Learning - Worksheet
Khan Academy - Practice
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