Question

Daca a=0,(6) si b=0,0(6), atunci:
a)raportul numerelor a si b este:.........................
b)b reprezinta............% din a

Answer 1

a) 2\3 * 15\1 = 30\3 = 10

b)  b = x·a/100          
 x = 100b/a = 100/15 ·3/2
x = 10 %

Answer 2

$a=0,(6)= \frac{6}{9}=\frac{2}{3} \\ b=0,0(6)=\frac{6}{90}=\frac{2}{30}=\frac{1}{15} \\ a) \\ \frac{a}{b}= \frac{2}{3}*\frac{15}{1}=\frac{2*15}{3*1}=\frac{30}{3}=10 \\ b)$
p% din a=b
$\frac{p}{100}*\frac{2}{3}=\frac{1}{15} \\ \frac{p}{100}=\frac{1*3}{15*2} \\ \frac{P}{100}=\frac{3}{30} \\ P=\frac{3}{30}*100 \\ P=\frac{3*100}{30} \\ P=\frac{300}{30} \\ P=10$