Dividing Fractions with Visual Models

Mr. Greenfield, a sixth-grade math teacher, demonstrates how to divide fractions using both algorithms and models. He solves three problems: 3/4 ÷ 1/8, 2/3 ÷ 1/2, and 3/4 ÷ 7/8. For each problem, he first uses the division algorithm and then verifies the solution with fraction strip models. The video emphasizes understanding the relationship between fractions and their division through visual models.

What is the first step in dividing fractions as demonstrated?

• Subtract the fractions

• Multiply the fractions directly

• Find the reciprocal of the second fraction and multiply

• Add the fractions

What is the quotient of 3/4 divided by 1/8?

• 4

• 2

• 8

• 6

How many one-eighths fit into three-fourths?

• 4

• 6

• 8

• 10

What tool does the teacher suggest using for creating fraction strips?

• Compass

• Ruler

• Graph paper

• Protractor

What is the quotient of 2/3 divided by 1/2?

• 2

• 1 and 1/2

• 1 and 1/3

• 1

In the second problem, what does the quotient being greater than one indicate?

• The divisor is larger than the dividend

• The dividend is larger than the divisor

• The dividend and divisor are equal

• None of the above

What method is used to visually represent the division of fractions in the video?

• Bar graphs

• Fraction strips

• Pie charts

• Number lines

What is the quotient of 3/4 divided by 7/8?

• 8/9

• 7/8

• 6/7

• 5/6

Why is the quotient of 3/4 divided by 7/8 less than one?

• Because 3/4 is larger than 7/8

• Because 7/8 is larger than 3/4

• Because they are equal

• None of the above

How many sevenths of 7/8 can fit into 3/4?

• 8/9

• 7/8

• 6/7

• 5/6