Question

Determine o valor do x para que se tornem equivalentes:
2/3=x/30

36/40=x/20

X/5=9/45

27/36=x/4

15/25=x/5

Answer 1

¡Hey!!

Explicação passo-a-passo:

$\frac{2}{3} = \frac{x}{30} \: \: \: \: \: \: \: \: \: \: \: mmc \\ \frac{10 \times 2}{10 \times 3} = \frac{x}{30} \\ \frac{20}{30} = \frac{x}{30} \\ x = 20$

$\frac{36}{40} = \frac{x}{20} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: mmc \\ \frac{36}{40} = \frac{2x}{40} \\ 2x = 36 \\ x = \frac{36}{2} \\ x = 18$

$\frac{x}{5} = \frac{9}{45} \: \: \: \: \: \: \: \: \: \: \: mmc \\ \frac{9 x}{9 \times 5} = \frac{9}{45} \\ \frac{9x}{45} = \frac{9}{45} \\ 9x = 9 \\ x = \frac{9}{9} \\ x = 1$

$\frac{27}{36} = \frac{x}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: mmc \\ \frac{27}{36} = \frac{9x}{36} \\ 27 = 9x \\ \frac{27}{9} = x \\ 3 = x \\ x = 3$

$\frac{15}{25} = \frac{x}{5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: mmc \\ \frac{15}{25} = \frac{5x}{25} \\ 15 = 5x \\ \frac{15}{5} = x \\ x = 3$

..