We have 2 fractions. We have to find the common denominator in order to express them with the same denominator.
As the denominator of the fractions, 5 and 2, are prime numbers, they won't have common multiples. Then, the minimum common multiple for both is the product of them: 5*2=10.
Now we have to express 1/5 and 1/2 with 10 as denominator:
[tex]\begin{gathered} \frac{1}{5}=\frac{1}{5}\cdot\frac{2}{2}=\frac{2}{10} \\ \frac{1}{2}=\frac{1}{2}\cdot\frac{5}{5}=\frac{5}{10} \end{gathered}[/tex]Answer: the equivalent fractions are 2/10 and 5/10.
