Question

6. Determină termenul necunoscut din proporţiile următoare:x+3/6=5/2;27/42=45/7×x​

Answer 1

$x + \frac{3}{6} = \frac{5}{2} \\ x = \frac{5}{2 } - \frac{3}{6} \\ x = \frac{15}{6} - \frac{3}{6} \\ x = \frac{12}{6} \\ x = 2$

$\frac{27}{42} = \frac{45}{7x} \\ 7x = \frac{45 \times 42}{27} \\ x = \frac{45 \times 42}{27} \div 7 \\ x = \frac{45 \times 42}{27} \times \frac{1}{7} \\ x = \frac{45 \times 6}{27} = \frac{270}{27} \\ x = 10$