Visualize Fractions: example 4.14

Find three fractions equivalent to $\frac{2}{5} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
To find a fraction equivalent to $\frac{2}{5},$ we multiply the numerator and denominator by the same number (but not zero). Let us multiply them by $2, 3,$ and $5 .$

So, $\frac{4}{10}, \frac{6}{15},$ and $\frac{10}{25}$ are equivalent to $\frac{2}{5} .$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Find three fractions equivalent to $\frac{3}{5} .$

How did it go?