Question

Помогите пожалуйста ​

Answer 1

Ответ:

$1$

Пошаговое объяснение:

$1) \ 4\dfrac{8}{9}-1\dfrac{5}{6}=4\dfrac{16}{18}-1\dfrac{15}{18}=3\dfrac{1}{18};$

$2) \ \dfrac{2}{3}+\dfrac{5}{9}=\dfrac{6}{9}+\dfrac{5}{9}=\dfrac{11}{9};$

$3) \ 3\dfrac{1}{18}:\dfrac{11}{9}=\dfrac{3 \cdot 18+1}{18} \cdot \dfrac{9}{11}=\dfrac{55 \cdot 9}{18 \cdot 11}=\dfrac{11 \cdot 5 \cdot 9}{9 \cdot 2 \cdot 11}=\dfrac{5}{2};$

$4) \ 1\dfrac{1}{6}+2,5=\dfrac{7}{6}+\dfrac{5}{2}=\dfrac{7}{6}+\dfrac{15}{6}=\dfrac{7+15}{6}=\dfrac{22}{6}=\dfrac{11}{3};$

$5) \ 3,8-2\dfrac{1}{3}=\dfrac{19}{5}-\dfrac{7}{3}=\dfrac{19 \cdot 3-7 \cdot 5}{5 \cdot 3}=\dfrac{57-35}{15}=\dfrac{22}{15};$

$6) \ \dfrac{11}{3}:\dfrac{22}{15}=\dfrac{11}{3} \cdot \dfrac{15}{22}=\dfrac{11 \cdot 3 \cdot 5}{3 \cdot 11 \cdot 2}=\dfrac{5}{2};$

$7) \ \dfrac{5}{2}:\dfrac{5}{2}=1;$

$8) \ 0,75+\dfrac{5}{6}-\dfrac{3}{8}=\dfrac{3}{4}+\dfrac{5}{6}-\dfrac{3}{8}=\dfrac{18}{24}+\dfrac{20}{24}-\dfrac{9}{24}=\dfrac{18+20-9}{24}=\dfrac{29}{24};$

$9) \ 5\dfrac{1}{8}-1\dfrac{1}{2}=\dfrac{41}{8}-\dfrac{3}{2}=\dfrac{41}{8}-\dfrac{12}{8}=\dfrac{41-12}{8}=\dfrac{29}{8};$

$10) \ \dfrac{29}{24}:\dfrac{29}{8}=\dfrac{29}{24} \cdot \dfrac{8}{29}=\dfrac{8}{24}=\dfrac{1}{3};$

$11) \ 1 \cdot \dfrac{1}{3}=\dfrac{1}{3};$

$12) \ \dfrac{1}{3}+\dfrac{2}{3}=\dfrac{1+2}{3}=\dfrac{3}{3}=1;$