Operations with Fractions and Distributive Property

The video tutorial covers the multiplication of fractions, focusing on handling negative numbers and finding common denominators. It explains how to combine like terms and convert improper fractions. The instructor encourages practice and collaboration with partners. The distributive property is applied to fractions, and the video concludes with a final example demonstrating the use of rational numbers in standard form.

What is the result of multiplying -10/3 by -1/4?

• 5/6

• -5/6

• 10/12

• -10/12

How do you find a common denominator for 3 and 6?

• Use 6 as the common denominator

• Divide by 3

• Multiply both by 2

• Add them together

What is the simplified form of 6 and 1/6 plus 6 goes into 10 one time with 4 left over?

• 6 1/2

• 6 3/4

• 6 2/3

• 6 1/3

What is the first step in rewriting an expression in standard form?

• Multiply all terms by 2

• Use the distributive property

• Find a common denominator

• Add all terms together

What is the common denominator for 3 and 4?

• 6

• 9

• 15

• 12

What is the result of multiplying -1/2 by 1/2?

• 1/2

• -1/4

• 1/4

• -1/2

What is the result of combining -6 and 7/12?

• -6 7/12

• -6 1/12

• -6 3/12

• -6 5/12

How do you simplify 2/3 + (-4/9)?

• 1/3

• 2/9

• 4/9

• 1/9

What is the result of distributing 1/3 over (1/4f - 1 1/3)?

• 1/12f + 1/3

• 1/12f - 1/3

• 1/12f + 4/9

• 1/12f - 4/9

What is the result of 1/3 times -4/3?

• -4/9

• 4/9

• -1/9

• 1/9