Question

Calculați :
v-am lăsat o poza mai jos ajutatima urgent va rog!​

Answer 1

amplifici 1 cu 5 si 2 cu 3

a = (5/5 - 1/5) : (6/3 - 2/3) : 5

a = 4/5 : 4/3 : 5

a = 4/5 x 3/4 x 1/5

a = 3/25

amplifici 1/3 cu 5, 1/5 cu 3, 1/2 cu 3 si 1/3 cu 2

b = (5/15 - 3/15) : (3/6 - 2/6) : 1/15

b = 2/15 : 1/6 : 1/15

b = 2/15 x 6 x 15

b = 12

a/b = 3/25 : 12 = 3/25 x 1/12 = 1/100

b/a = 12 : 3/25 = 12 x 25/3 =  100

Answer 2

$a=\Bigg(1-\cfrac{1}{5} \Bigg):\Bigg(2-\cfrac{2}{3} \Bigg):5=\cfrac{5-1}{5} :\cfrac{6-2}{3} :5=\cfrac{4}{5} :\cfrac{4}{3} :5=\cfrac{\not4}{5} \cdot \cfrac{3}{\not4} \cdot \cfrac{1}{5}= \cfrac{3}{25} \\\\b=\Bigg(\cfrac{1}{3} -\cfrac{1}{5} \Bigg):\Bigg(\cfrac{1}{2}-\cfrac{1}{3}\Bigg):\cfrac{1}{15}=\cfrac{5-3}{15}:\cfrac{3-2}{6} :\cfrac{1}{15}=\cfrac{2}{15}:\cfrac{1}{6} :\cfrac{1}{15} =\\\\=\cfrac{2}{15}\cdot 6 \cdot 15=12\\\\a=\cfrac{3}{25};~b=12$

$\cfrac{a}{b} =\cfrac{\cfrac{3}{25} }{12} =\cfrac{3}{25} \cdot \cfrac{1}{12} =\cfrac{3}{300} =\cfrac{1}{100}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\boxed{\cfrac{a}{b} =\cfrac{1}{100} }\\\\ \cfrac{b}{a} =\cfrac{12}{\cfrac{3}{25} } =12 \cdot \cfrac{25}{3} =4 \cdot 25=100 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \boxed{\cfrac{b}{a}=100 }$