Dividing Fractions by Whole Numbers Using Visual Models

This lesson teaches how to divide a fraction by a whole number using a visual model. It begins with the expression 2/3 divided by 4, represented visually by dividing a rectangle into parts. The rectangle is first divided into three parts to represent 2/3, then further divided into four parts to perform the division. The result is calculated as 2/12, which simplifies to 1/6. The lesson emphasizes understanding division of fractions through visual models.

What is the first step in dividing a fraction by a whole number using a visual model?

• Draw a line to represent the whole.

• Draw a rectangle to represent the whole.

• Draw a circle to represent the whole.

• Draw a triangle to represent the whole.

How do you represent the fraction 2/3 on a rectangle?

• Divide the rectangle into 2 parts and shade 3.

• Divide the rectangle into 3 parts and shade 1.

• Divide the rectangle into 3 parts and shade 2.

• Divide the rectangle into 4 parts and shade 2.

After dividing the rectangle into 4 parts, how many shaded cells are in one part?

• 2 shaded cells

• 4 shaded cells

• 1 shaded cell

• 3 shaded cells

What is the total number of cells in the rectangle after dividing it into 4 parts?

• 8 cells

• 14 cells

• 10 cells

• 12 cells

What is the simplified result of 2/3 divided by 4?

• 1/4

• 1/5

• 1/6

• 1/7