Question

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1. using a picture, show how six people could share four sandwiches. then, write an equation and solve.

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lesson 2: interpret a fraction as division.
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Explanation:

Step1: Divide each sandwich equally

Split each of the 4 sandwiches into 6 equal parts. Each sandwich has $\frac{1}{6}$ sized pieces.

Step2: Distribute pieces to people

Each person gets 1 piece from each sandwich, so each person gets $4 \times \frac{1}{6}$ pieces.

Step3: Write division equation

The total sandwiches divided by number of people: $4 \div 6 = \frac{4}{6}$

Step4: Simplify the fraction

Reduce $\frac{4}{6}$ by dividing numerator and denominator by 2: $\frac{4\div2}{6\div2} = \frac{2}{3}$

Answer:

Each person gets $\frac{2}{3}$ of a sandwich. The equation is $4 \div 6 = \frac{2}{3}$.

(For the picture: Draw 4 rectangles (sandwiches), divide each into 6 equal smaller rectangles. Shade 2 small rectangles (which is $\frac{2}{3}$ of one full sandwich) to represent each person's share, and repeat this shading 6 times across the 4 sandwiches to show full distribution.)