Question

1. how does knowing \\(\frac{1}{5}\\) of 10 help you find \\(\frac{3}{5}\\) of 10? draw a picture to explain your thinking.

Explanation:

Step1: Calculate $\frac{1}{5}$ of 10

$\frac{1}{5} \times 10 = 2$

Step2: Relate to $\frac{3}{5}$ of 10

$\frac{3}{5}$ is 3 times $\frac{1}{5}$, so multiply the result from Step1 by 3:
$2 \times 3 = 6$

Step3: Visual explanation setup

Draw a rectangle representing 10. Divide it into 5 equal parts; each part is $\frac{1}{5}$ of 10, which equals 2.

Step4: Highlight $\frac{3}{5}$ in the drawing

Shade 3 of the 5 equal parts. The total value of the shaded parts is $2+2+2=6$, which is $\frac{3}{5}$ of 10.

Answer:

Knowing $\frac{1}{5}$ of 10 (which is 2) lets you find $\frac{3}{5}$ of 10 by multiplying that value by 3, giving 6.
For the visual:

• Draw a rectangle labeled "10".
• Split it into 5 equal smaller rectangles; label each small rectangle "2" (since $\frac{1}{5} \times 10 = 2$).
• Shade 3 of the small rectangles. The total of the shaded area is 6, which is $\frac{3}{5}$ of 10.