Understanding Basic Fraction Operations

Mrs. Haney explains how to divide fractions using models. She demonstrates dividing two by one-fourth by creating two rectangles and dividing each into four pieces, resulting in eight pieces. She verifies the result using multiplication with the reciprocal. She also covers dividing one-fourth by two, splitting each fourth into two pieces, resulting in one-eighth. The video emphasizes starting and ending with the same type of number, whether whole or fractional.

What is the first step in using a model to divide fractions?

• Look at the second number in the division sentence.

• Create a model using the first number.

• Use a calculator.

• Multiply the numbers directly.

How many rectangles are needed to model the division of two by one-fourth?

• Two rectangles

• One rectangle

• Three rectangles

• Four rectangles

When dividing rectangles into fourths, how many total pieces are there?

• Six pieces

• Eight pieces

• Ten pieces

• Four pieces

What is the reciprocal of one-fourth?

• One-fourth

• Two over one

• Four over one

• One over two

Why is it important to start and end with the same type of number?

• To ensure the answer is correct

• To maintain consistency in the problem

• To make the calculation easier

• To avoid using fractions

What is the first step in dividing one-fourth by two using a model?

• Subtract two from the fraction

• Divide each fourth into two pieces

• Add two to the fraction

• Multiply the numbers directly

How many total pieces are there when one-fourth is divided by two?

• Eight pieces

• Ten pieces

• Six pieces

• Four pieces

What is the result of one-fourth divided by two?

• One-sixteenth

• One-eighth

• One-half

• One-fourth

How do you prove the division of one-fourth by two using multiplication?

• Multiply one-fourth by one-half

• Multiply one-fourth by one-fourth

• Multiply one-fourth by two

• Multiply one-fourth by four

What is the result of multiplying one by one in the reverse multiplication proof?

• One

• Two

• Four

• Eight