Question

1) 8,5-1/3;
2) 4 1/9+1,8;
3) 1/9×0,12;
4) 6/7÷0,6

Answer 1

1)

$8,5-dfrac{1}{3}=dfrac{85}{10}-dfrac{1}{3}=dfrac{17}{2}-dfrac{1}{3}=dfrac{51}{6}-dfrac{2}{6}=dfrac{49}{6}=boldsymbol{8dfrac{1}{6}}$

2)

$4dfrac{1}{9}+1,8=4dfrac{1}{9}+dfrac{18}{10}=4dfrac{1}{9}+dfrac{9}{5}=4dfrac{1}{9}+1dfrac{4}{5}=5dfrac{5+36}{45}=boldsymbol{5dfrac{41}{45}}$

3)

$dfrac{1}{9}cdot 0,12=dfrac{1}{9}cdot dfrac{12}{100}=dfrac{1}{9}cdot dfrac{3}{25}=dfrac{1}{3cdot 25}=boldsymbol{dfrac{1}{75}}$

4)

$dfrac{6}{7}:0,6=dfrac{6}{7}:dfrac{6}{10}=dfrac{6}{7}cdot dfrac{10}{6}=dfrac{10}{7}=boldsymbol{1dfrac{3}{7}}$

Answer 2

$8.5 - frac{1}{3} = frac{17}{2} - frac{1}{3} = frac{49}{6} = 8 frac{1}{6} \ \ 4 frac{1}{9} + 1.8 = frac{37}{9} + frac{9}{5} = frac{266}{45} = 5 frac{41}{45} \ \ frac{1}{9} times 0.12 = frac{1}{9} times frac{3}{25} = frac{1}{3} times frac{1}{25} = frac{1}{75} \ \ frac{6}{7} div 0.6 = frac{6}{7} div frac{3}{5} = frac{6}{7} times frac{5}{3} = frac{2}{7} times 5 = frac{10}{7} = 1 frac{3}{7}$