Question

15 Cât la sută reprezintă :

D) 0,(5) din 0,(3);

E) 1,(2) din 0,(4)

F) 1,(1) din 1,(1) ?

Answer 1

$\frac{x}{100} \times 0.(3) = 0.(5)$

$\frac{x}{100} \times \frac{3}{9} = \frac{5}{9}$

$\frac{x}{100} \times \frac{1}{3} = \frac{5}{9}$

$\frac{x}{300} = \frac{5}{9}$

$9x = 1500$

$x = \frac{1500}{9}$

$x = \frac{500}{3}$

$x = 166.(6)$

$x = 166.66 \: la \: suta$

$\frac{y}{100} \times 0.(4) = 1.(2)$

$\frac{y}{100} \times \frac{4}{9} = \frac{12 - 1}{9}$

$\frac{4y}{900} = \frac{11}{9}$

$36y = 9900$

$y = \frac{9900}{36}$

$y = 275 \: la \:suta$

$\frac{z}{100} \times 1.(1) = 1.(1)$

$\frac{z}{100} \times \frac{11 - 1}{9} = \frac{11 - 1}{9}$

$\frac{z}{100} \times \frac{10}{9} = \frac{10}{9} \: | \div \frac{10}{9}$

$\frac{z}{100} = 1$

$z = 100 \: la \: suta$