Question

The fractions $\frac{8}{14}$ and $\frac{12}{21}$ are equivalent to___________.

• A. $\frac{4}{14}$
• B. $\frac{12}{14}$
• C. $\frac{3}{7}$
• D. $\frac{4}{7}$

Answer 1

The correct option is D $\frac{4}{7}$

Let's reduce the given fractions to their lowest forms.
We can do this by dividing both the numerator and the denominator by the same number.
$\frac{8}{14}=\frac{8÷2}{14÷2}=\frac{4}{7}$
$\frac{12}{21}=\frac{12÷3}{21÷3}=\frac{4}{7}$
Thus, $\frac{8}{14}$ and $\frac{12}{21}$ are equivalent to $\frac{4}{7}$.