Question

State whether the following statement is True or False:

$2:3$ is equivalent to $4:6$.

• A. True
• B. False

Answer 1

The correct option is A True

Step 1: Write the ratios as fractions

We can write $2:3$and $4:6$ as $\frac{2}{3}$and $\frac{4}{6}$respectively.

Step 2: Compare the fractions

Now, let's compare $\frac{2}{3}$and $\frac{4}{6}$.

The Least Common Multiple of denominators ( $3$and $6$) is $6$.

Let's make the denominator of each fraction $6$.

$\frac{2\times 2}{3\times 2}=\frac{4}{6}$ and $\frac{4\times 1}{6\times 1}=\frac{4}{6}$ ( denominator already equal to 6)

$\frac{4}{6}$$=$$\frac{4}{6}$

$\Rightarrow$ $\frac{2}{3}$$=$$\frac{4}{6}$

So, $2:3$ is equivalent to $4:6$.

Hence, the given statement is true.