Question

Look at the models below. DO Tell whether each statement is True or False. equivalent to į because à has 2 times as many shaded parts and 2 times as many equal parts as True False 3 b. , is equivalent to because has 2 times as many parts shaded and 2 more equal parts than True 0 False 4 is equivalent to because both models have i shaded part True False d. is equivalent to because á has 2 + 6 = 8 equal parts. True False

Answer 1

a.

Since:

$\frac{1}{3}\equiv\frac{2}{2}\times\frac{1}{3}=\frac{2}{6}$

The statement is true

b.

Since:

$\frac{2}{2}\times\frac{1}{4}=\frac{2}{8}\ne\frac{2}{6}$

The statement is false

c.

Since:

$\frac{1}{4}\equiv\frac{2}{2}\times\frac{1}{4}=\frac{2}{8}$

The statement is true.

d.

Since:

$\begin{gathered} \frac{2}{6}=\frac{1}{3} \\ \frac{2}{8}=\frac{1}{4} \\ \frac{1}{4}\ne\frac{1}{3} \end{gathered}$

The statement is false.