Question

Give four rational numbers equivalent to -2/5

Answer 1

Multiply both Numerator and Denominator with same number

Step-by-step explanation:

In order to find the rational numbers equivalent to any number of the form $\frac{p}{q}$ where q ≠ 0 -

We just multiply the numerator and the denominator with the same number

$\frac {p}{q} = \frac {p}{q} = \frac{p\ x\ n}{q\ x\ n} = \frac{p\ x\ m}{q\ x\ m}$

So for the term$\frac{-2}{5}$ , the four rational number are -

1. $\frac {-2}{5} = \frac{-2\ x\ 2}{5\ x\ 2} = \frac {-4}{10}$
2. $\frac {-2}{5} = \frac{-2\ x\ 3}{5\ x\ 3} = \frac {-6}{15}$
3. $\frac {-2}{5} = \frac{-2\ x\ 4}{5\ x\ 4} = \frac {-8}{20}$
4. $\frac {-2}{5} = \frac{-2\ x\ 5}{5\ x\ 5} = \frac {-10}{25}$

So, $\frac {-2}{5} = \frac {-4}{10} = \frac {-6}{15} = \frac {-8}{20} = \frac {-10}{25}$