# Question #ecc7a

Dec 19, 2017

$- \frac{3}{7} = - \frac{6}{14} = - \frac{9}{21} = - \frac{12}{28} = - \frac{15}{35} = - \frac{18}{42} = - \frac{36}{84}$

#### Explanation:

Equivalent fractions are those which have the same value, but look different.

There are infinitely many fractions equivalent to $- \frac{3}{7}$

Remember that if you multiply any number by $\textcolor{red}{1}$ it does not change in value,

$\textcolor{red}{1}$ can be written in many ways:

$\textcolor{red}{1 = \frac{2}{2} = \frac{3}{3} = \frac{4}{5} = \frac{13}{13} = \frac{25}{25} = \frac{36}{36}} . .$ and so on.

To form an equivalent fraction, multiply $- \frac{3}{7}$ by $1$

$- \frac{3}{7} \times \textcolor{red}{\frac{2}{2}} = - \frac{6}{14} \text{ or "-3/7 xxcolor(red)(3/3) = -9/21}$

$- \frac{3}{7} = - \frac{6}{14} = - \frac{9}{21} = - \frac{12}{28} = - \frac{15}{35} = - \frac{18}{42} = - \frac{36}{84}$

Each of these fractions simplifies to $- \frac{3}{7}$