Question

vaneice is planting a garden with her sister. each sister is responsible for planting in $\frac{1}{2}$ of the garden. vaneice plans to grow tomatoes in $\frac{1}{3}$ of her half. which diagram could be used to represent that portion of the garden where vaneice plants tomatoes?

Explanation:

Step1: Analyze the fraction of the garden

Each sister is responsible for $\frac{1}{2}$ of the garden. Vaneice plants tomatoes in $\frac{1}{3}$ of her $\frac{1}{2}$ portion. To find the fraction of the whole - garden that has tomatoes, we multiply the two fractions: $\frac{1}{2}\times\frac{1}{3}=\frac{1}{6}$.

Step2: Examine the diagrams

We need to find a diagram where 1 out of 6 equal - sized parts is shaded. The first diagram divides the rectangle into 6 equal - sized small rectangles and 1 is shaded.

Answer:

The first diagram (the one with 1 out of 6 small rectangles shaded)