Dividing Fractions and Divisibility Concepts

This lesson teaches how to divide fractions by dividing across numerators and denominators. It explains divisibility with whole numbers and applies this concept to fractions using examples like Kevin's water and Cameron's string. The divide-across strategy is highlighted as effective for fractions with divisible numerators and denominators, while other strategies are suggested for non-divisible fractions.

What does it mean for two numbers to be divisible?

• They can be divided with a remainder.

• They can be divided with no remainder.

• They are always equal.

• They cannot be divided at all.

In the example with eight stars, how many groups of two can be formed?

• Three groups

• Six groups

• Four groups

• Five groups

How many puppy water dishes can Kevin fill with eight-tenths liter of water?

• Four dishes

• Three dishes

• Two dishes

• One dish

What is the result of dividing eight-tenths by two-fifths?

• One-half

• Two wholes

• Four wholes

• Three wholes

How many bracelets can Cameron make with five-sixths yard of string?

• One bracelet

• Two bracelets

• Two and a half bracelets

• Three bracelets

What is the result of dividing five-sixths by one-third?

• Four

• One-half

• Two and a half

• Three

When is the divide-across strategy most effective?

• When only denominators are divisible

• When only numerators are divisible

• When numerators and denominators are divisible

• When numerators and denominators are not divisible

Why is nine-tenths divided by five-eighths not suitable for the divide-across strategy?

• Because nine is divisible by five

• Because ten is divisible by eight

• Because neither nine nor ten is divisible by five or eight

• Because both nine and ten are divisible by five and eight

What is the remainder when dividing nine by five?

• Three

• Four

• One

• Two

What will you learn in future lessons about dividing fractions?

• More efficient strategies for non-divisible fractions

• How to add fractions

• How to subtract fractions

• How to multiply fractions