Question

directions: complete parts a and b to compare fractions.
part a
compare \\(\frac{2}{3}\\) and \\(\frac{3}{5}\\) using the strategy shown.
enter the correct numbers in the boxes.
show hints
\\(\frac{2}{3} = \frac{3}{\square} \times \frac{2}{3} = \frac{\square}{\square}\\) \\(\frac{3}{5} = \frac{\square}{2} \times \frac{\square}{\square} = \frac{\square}{\square}\\)

Explanation:

Step1: Encontrar factor para $\frac{2}{3}$

Para igualar el numerador a 3, calculamos el factor: $\frac{3}{2}$

Step2: Calcular equivalente de $\frac{2}{3}$

$\frac{3}{2} \times \frac{2}{3} = \frac{6}{6} = 1$

Step3: Encontrar factor para $\frac{3}{5}$

Para igualar el numerador a 2, calculamos el factor: $\frac{2}{3}$

Step4: Calcular equivalente de $\frac{3}{5}$

$\frac{2}{3} \times \frac{3}{5} = \frac{6}{15} = \frac{2}{5}$

Answer:

$\frac{2}{3} = \frac{3}{\boldsymbol{2}} \times \frac{2}{3} = \frac{\boldsymbol{6}}{\boldsymbol{6}}$
$\frac{3}{5} = \frac{\boldsymbol{2}}{2} \times \frac{\boldsymbol{3}}{\boldsymbol{5}} = \frac{\boldsymbol{6}}{\boldsymbol{15}}$

Y al comparar: $\frac{2}{3} > \frac{3}{5}$