Distributive Method and Fraction Operations

Jimmy Chang explains the distributive method with fractions, highlighting the need for careful multiplication and simplification. He provides two examples: distributing 2/3 across terms and distributing -4/7 across terms, emphasizing the importance of reducing fractions where necessary.

What is the distributive method primarily used for?

• Solving quadratic equations

• Distributing a single term across terms in parentheses

• Finding the greatest common divisor

• Calculating the area of a rectangle

In the expression 2/3 times (X - 1/5), what is the first step?

• Add 2/3 to X

• Subtract 1/5 from X

• Divide X by 2/3

• Multiply 2/3 by each term inside the parentheses

What is the result of multiplying 2/3 by X?

• X/3

• 2/3X

• 3/2X

• 2X/3

How do you multiply 2/3 by 1/5?

• Add the numerators and denominators

• Multiply the numerators and denominators

• Subtract the numerators and denominators

• Divide the numerators and denominators

What is the product of 2/3 and 1/5?

• 2/15

• 3/5

• 1/15

• 5/3

In the second example, what is the initial expression?

• 4/7 times (Y + 1/2)

• -4/7 times (5/8Y + 1/2)

• 5/8 times (Y - 1/2)

• -5/8 times (4/7Y + 1/2)

What is the result of multiplying -4/7 by 5/8Y?

• -20/56Y

• -56/35Y

• -20/35Y

• -35/56Y

How do you multiply -4/7 by 1/2?

• Multiply the numerators and denominators

• Add the numerators and denominators

• Subtract the numerators and denominators

• Divide the numerators and denominators

What is the product of -4/7 and 1/2?

• -1/7

• -8/14

• -2/7

• -4/14

What is the simplified form of -20/56?

• -2/7

• -10/28

• -4/7

• -5/14