Question

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Answer 1

$1) \frac{6}{11} = \frac{x}{55} \\ 11x = 6 \times 55 \\11x = 330 \\ x = \frac{330}{11} \\ x = 30$

$2) \frac{3}{8} = \frac{45}{x} \\ 3x = 45 \times 8 \\ 3x = 360 \\ x = \frac{360}{3} \\ x = 120$

$3) \frac{x}{15} = \frac{24}{90} \\ 90 x = 24 \times 15 \\ 90x = 360 \\ x = \frac{360 }{90} \\ x = 4$

$4) \frac{8}{x} = \frac{104}{117} \\ 104x = 8 \times 117 \\ 104 x =936 \\ x = \frac{936}{104} \\ x = 4$

$5) \frac{x}{19.5} = \frac{2}{3} \\ 3x = 2 \times 19.5 \\ 3x = 39 \\ x = \frac{39}{3} \\ x = 13$

$6) \frac{37.8}{x} = \frac{7}{15} \\ 7x = 15 \times 37.8 \\ 7x = 567 \\ x = \frac{567}{7} \\ x = 81$

Answer 2

Основное свойство пропорции:

Произведение средних членов пропорции равно произведению крайних членов, или

если x/y = a/b, то ay = xb

1.

$\frac{6}{11} = \frac{x}{55} \\ 6 \times 55 = 11x \\ x = \frac{6 \times 55}{11} = 6 \times 5 = 30$

2.

$\frac{3}{8} = \frac{45}{x} \\ 3x = 45 \times 8 \\ x = \frac{45 \times 8}{3} = 15 \times 8 = 120$

3.

$\frac{x}{15} = \frac{24}{90 } \\ \frac{x}{15} = \frac{4}{15} \\ 15x = 15 \times 4 \\ x = \frac{15 \times 4}{15} = 4$

4.

$\frac{8}{x} = \frac{104}{117} \\ 104x = 117 \times 8 \\ x = \frac{117 \times 8}{104} = \frac{117}{13} = 9$

5.

$\frac{x}{19.5} = \frac{2}{3} \\ 3x = 2 \times 19.5 = 39 \\ x = 39 \div 3 = 13$

6.

$\frac{37.8}{x} = \frac{7}{15} \\ 7x = 15 \times 37.8 \\ x = \frac{15 \times 37.8}{7} = 15 \times 5.4 = 81$