Respuesta :

ANSWER:

[tex]\begin{gathered} \frac{3}{7}=\frac{6}{14} \\ \frac{2}{9}=\frac{4}{18} \\ \frac{10}{15}=\frac{2}{3} \\ \frac{12}{21}=\frac{4}{7} \end{gathered}[/tex]

STEP-BY-STEP EXPLANATION:

1.

We multiply each numerator and denominator by 2 to find an equivalent fraction, just like that

[tex]\begin{gathered} \frac{3}{7}\cdot\frac{2}{2}=\frac{6}{14}\rightarrow\frac{3}{7}=\frac{6}{14} \\ \frac{2}{9}\cdot\frac{2}{2}=\frac{4}{18}\rightarrow\frac{2}{9}=\frac{4}{18} \end{gathered}[/tex]

2.

In this case, what we will do is divide each fraction by a corresponding value to find the equivalent fraction.

[tex]\begin{gathered} \frac{\frac{10}{5}}{\frac{15}{5}}=\frac{2}{3}\rightarrow\frac{10}{15}=\frac{2}{3} \\ \frac{\frac{12}{3}}{\frac{21}{3}}=\frac{4}{7}\rightarrow\frac{12}{21}=\frac{4}{7} \end{gathered}[/tex]