Question

State whether the following statement is True or False:

$4:9$ is equivalent to $8:18$.

• A. True
• B. False

Answer 1

The correct option is A True

Step 1: Write the ratios as fractions

We can write $4:9$ and $8:18$ as $\frac{4}{9}$and $\frac{8}{18}$respectively.

Step 2: Compare the fractions

Now, let's compare $\frac{4}{9}$and $\frac{8}{18}$.

The L.C.M of denominators ( $9$ and $18$) is $18$.

Let's make the denominator of each fraction $18$.

$\frac{4\times 2}{9\times 2}=\frac{8}{18}$ and $\frac{8\times 1}{18\times 1}=\frac{8}{18}$ (denominator is already 18)

$\frac{8}{18}$$=$$\frac{8}{18}$

That means, $\frac{4}{9}$$=$$\frac{8}{18}$

So, $4:9$ is equivalent to $8:18$.

Hence, the given statement is true.