📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- Multiply the numerators together and multiply the denominators together.
- Cross-cancellation can make a problem easier before multiplying.
- You can only cross-cancel when a numerator and denominator share a common factor.
- Always rewrite mixed numbers as improper fractions before multiplying.
- Simplify the final answer if it is not already in lowest terms.
✏️ Worked Examples – Multiplying Fractions Using Cross-Cancellation
🧠 Math Vocabulary
- Fraction: a number that represents part of a whole.
- Numerator: the top number in a fraction.
- Denominator: the bottom number in a fraction.
- Cross-cancellation: simplifying before multiplying by dividing a numerator and a denominator by a common factor.
- Improper fraction: a fraction with a numerator greater than or equal to the denominator.
💡 Main Idea
This lesson shows how to multiply fractions efficiently by using cross-cancellation before multiplying. Instead of multiplying large numbers first and simplifying later, you can reduce common factors across numerators and denominators to keep the arithmetic smaller and cleaner. This is especially helpful when multiplying several fractions in the same expression.
📚 What You Should Already Know
Before watching this video, students should understand numerators and denominators, how to find common factors, and how to simplify a fraction to lowest terms. It also helps if they already know how to rewrite a mixed number as an improper fraction, since that skill is often needed before multiplying fractions and mixed numbers.
🚀 What Comes Next
After students learn to multiply fractions with cross-cancellation, the next step is usually multiplying mixed numbers, solving word problems involving fractional products, and eventually dividing fractions. This skill also supports later work with rational expressions, scale problems, and proportional reasoning.
🧩 Embed This Video in Your LMS
Teachers can embed this YouTube video directly into Canvas, Google Classroom, Schoology, or another learning platform. Click below to show the embed code.