Multiplying and Simplifying Fractions

This video tutorial explains how to multiply fractions, focusing on simplifying them before multiplication. It covers moving negative signs, identifying common factors, and using prime factorization. Several examples demonstrate these methods, emphasizing the importance of simplification for accurate results.

What is the basic rule for multiplying fractions?

• Multiply the numerators and denominators

• Multiply the numerators and add the denominators

• Add the numerators and denominators

• Divide the numerators and denominators

When multiplying -3/5 by 2/7, what is the product?

• 5/35

• -5/35

• 6/35

• -6/35

What is the simplified form of -4/9 multiplied by 5/12?

• -4/27

• 5/27

• 4/27

• -5/27

Which method allows you to see all common factors when simplifying fractions?

• Cross-multiplication

• Prime factorization

• Long division

• Decimal conversion

What is the result of multiplying -7/2 by -9/28 after simplification?

• 3/16

• -3/16

• 3/8

• -3/8

How many common factors do 16 and 18 share?

• One

• Two

• Three

• Four

What is the simplified product of 5/16 multiplied by -18/45?

• -1/8

• 1/8

• -1/9

• 1/9

What is the prime factorization of 16?

• 2 * 2 * 2 * 2

• 2 * 3 * 3

• 3 * 3 * 3

• 2 * 2 * 3

What is the simplified result of -16/42 multiplied by -7?

• -7/3

• 7/3

• -8/3

• 8/3

Why is it important to simplify fractions before multiplying?

• To make the numbers larger

• To reduce calculation errors

• To increase the number of steps

• To make the fractions more complex