Fractions of a set

In this lesson, we will learn:

• How to use fractions to talk about sets of objects
• How to use division and multiplication to solve for fraction of a set

Notes:

• We can use fractions to talk about sets of objects. We can use images or just simplify to a simple shape like a circle.
• Ex. If Austin has 8 jellybeans and he wants to give $\large \frac{1}{4}$ to her, how many jellybeans will he give?

• By making 4 equal groups and then giving just 1 of those groups, we realize that there is 2 in each group, so he gave his sister 2 jellybeans.

• We can use division and multiplication to find the fraction of a set
• Ex. After giving his sister jellybeans, Austin has $\large \frac{3}{4}$ of his 8 jellybeans left.

• Step 1: divide 8 into 4 equal groups $\, \longrightarrow \,$ 8 ÷ 4 = 2
• Step 2: take the result and multiply by 3 groups $\, \longrightarrow \,$ 2 × 3 = 6

• The formula for a fraction of a set:
• following the format:
• divide the denominator and multiply the numerator