answer the parts below.\n(a) shade $\frac{2}{3}$ of this shape.\n(b) fill in the blank to make the two…

Explanation:

Step1: Analyze part (a)

The shape is divided into 6 equal - sized rectangles. To shade $\frac{2}{3}$ of it, we first note that $\frac{2}{3}=\frac{4}{6}$ (by multiplying numerator and denominator by 2). So we need to shade 4 out of 6 rectangles.

Step2: Analyze part (b)

To find the equivalent fraction $\frac{2}{3}=\frac{x}{6}$, we use the rule of equivalent fractions. If we multiply the denominator of $\frac{2}{3}$ by 2 (since $3\times2 = 6$), we must multiply the numerator by 2 as well. So $2\times2=4$.

Answer:

(a) Shade 4 out of 6 rectangles. (b) 4