Dividing by Fractions Concepts

This lesson explores dividing whole numbers by non-unit fractions, emphasizing the concept of equal groups. It reviews basic division principles, highlights common mistakes, and provides a detailed example of dividing four by two-thirds. The lesson also demonstrates how to verify division results using multiplication, reinforcing the understanding of division by fractions.

What does division generally involve?

• Multiplying a whole by a fraction

• Subtracting a fraction from a whole

• Taking a whole and splitting it into equal parts

• Taking a whole and splitting it into unequal parts

How many sets of two apples are there in eight apples?

• Three sets

• Four sets

• Two sets

• Five sets

What is a common mistake when dividing by one half?

• Confusing it with multiplying by two

• Confusing it with subtracting two

• Confusing it with dividing by two

• Confusing it with adding two

What is the result of dividing one by one half?

• Two

• Three

• One

• One half

In the example of four divided by two-thirds, how many groups of two-thirds are there in four?

• Seven groups

• Six groups

• Five groups

• Four groups

How is the division problem four divided by two-thirds represented as a multiplication problem?

• Six times four equals two-thirds

• Two-thirds times four equals six

• Four times two-thirds equals six

• Six times two-thirds equals four

What is the first step in using multiplication to check a division problem?

• Rewrite the fraction as a whole number

• Rewrite the whole number as a fraction

• Subtract the fraction from the whole number

• Add the whole number to the fraction

What is the result of multiplying six over one by two-thirds?

• Six-thirds

• Twelve-thirds

• Four-thirds

• Two-thirds

What does twelve-thirds simplify to?

• Three

• Four

• Five

• Two

What concept did you learn in this lesson?

• Dividing a whole number by a unit fraction

• Dividing a whole number by a non-unit fraction

• Multiplying a whole number by a fraction

• Subtracting a fraction from a whole number