Question

Which two choices are equivalent to the fraction below 4/6

Answer 1

The choices b and c are equivalent to $\frac{4}{6}$.

Step-by-step explanation:

Step 1:

First, we need to bring the fraction $\frac{4}{6}$ to its simplest form. To do so, we divide the numerator and the denominator by the greatest factor.

The greatest factor for 4 and 6 is 2. So we divide it by 2.

So $\frac{4}{2}=2, \frac{6}{2}=3, \frac{4}{6}= \frac{2}{3}$.

Step 2:

Similarly, we need to do the same for all the given four options.

a. $\frac{2}{4}$, the greatest factor for 2 and 4 is 2. So we divide the fraction by 2.

So $\frac{2}{2}=1, \frac{4}{2}=2, \frac{2}{4}= \frac{1}{2}$.

b. $\frac{8}{12}$, the greatest common factor for 8 and 12 is 4. So we divide the fraction by 4.

So $\frac{8}{4}=2, \frac{12}{4}=3, \frac{8}{12}= \frac{2}{3}$.

For options c and d, 1 is the greatest factor so they cannot be simplified. They remain as they are.

Step 3:

So options b and c are equal to the simplification of $\frac{4}{6}$ i.e. $\frac{2}{3}$.