Dividing Fractions and Unit Fractions

Mrs. Nelson introduces sixth-grade students to dividing by unit and non-unit fractions. She explains the concept of unit fractions, which have a numerator of one, and non-unit fractions, which have other numerators. The video demonstrates how to divide numbers by these fractions using diagrams and reasoning with numerators and denominators. The concept of reciprocals is introduced, showing that dividing by a fraction is equivalent to multiplying by its reciprocal. The video aims to help students understand and apply these concepts in mathematical problems.

What is a unit fraction?

• A fraction with a numerator greater than the denominator

• A fraction with equal numerator and denominator

• A fraction with 1 in the denominator

• A fraction with 1 in the numerator

Which of the following is a non-unit fraction?

• 1/2

• 1/10

• 1/7

• 2/3

How many rectangles are needed to represent 6 divided by 1/3?

• 3 rectangles

• 12 rectangles

• 6 rectangles

• 9 rectangles

What is the result of 6 divided by 1/3?

• 2

• 12

• 18

• 24

How can you express 6 divided by 2/3 using multiplication?

• 6 times 1/2

• 6 times 3/2

• 6 times 2/3

• 6 times 2

What is the reciprocal of 2/3?

• 3/2

• 1/2

• 3/4

• 2/3

What is the result of 6 divided by 2/3?

• 6

• 9

• 8

• 12

How can you express 6 divided by 3/4 using multiplication?

• 6 times 3

• 6 times 3/4

• 6 times 1/4

• 6 times 4/3

What is the result of 6 divided by 3/4?

• 6

• 8

• 9

• 12

What is the special name for a fraction like 4/3 when dividing by 3/4?

• Reciprocal

• Opposite

• Inverse

• Complement