Question

1. solve. draw a rectangular fraction model, and write a number sentence to show your thinking.

$\frac{1}{3} \times \frac{1}{3} =$

1. ms. sheppard cuts $\frac{1}{2}$ of a piece of construction paper. she uses $\frac{1}{6}$ of the piece to make a flower.

what fraction of the sheet of paper does she use to make the flower?

Explanation:

Step1: Multiply numerators

$\frac{1}{3} \times \frac{1}{3} = \frac{1 \times 1}{3 \times 3}$

Step2: Multiply denominators

$\frac{1 \times 1}{3 \times 3} = \frac{1}{9}$
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Step1: Set up the multiplication

$\frac{1}{2} \times \frac{1}{6} = \frac{1 \times 1}{2 \times 6}$

Step2: Calculate the product

$\frac{1 \times 1}{2 \times 6} = \frac{1}{12}$

Answer:

1. $\frac{1}{9}$
2. $\frac{1}{12}$

Rectangular Fraction Model Note for Question 1:

Draw a rectangle, divide it into 3 equal vertical parts (shade 1 part to represent $\frac{1}{3}$). Then divide the same rectangle into 3 equal horizontal parts. The overlapping shaded area (1 small rectangle out of 9 total small rectangles) represents $\frac{1}{9}$, matching the number sentence $\frac{1}{3} \times \frac{1}{3} = \frac{1}{9}$.