Question

Вычислите: 6 4/9 + 3 5/9 2) 10 11/19 + 5 14/19 3) 2 3/13 + 2 11/13 4) 1 5/8 + 3 7/8 5) 1- 3/11 6) 1- 13/40 7) 4 - 1 4/7 8) 10-9 3/10 9) 5 2/7-2 5/7 10)14 6/20-8 12/20 11)8 3/14 - 5 9/14 12) 7 10/21- 4 16/21 13)14 8/31- 6 8/31 14) (12 5/22+ 7 17/ 7/23-9 15/23) решите завтра в ! 1 заодно

Answer 1

Вычислить:
Сложение смешанных дробей с одинаковыми знаменателями:
а $\frac{m}{c}$ + b $\frac{n}{c}$ = (а+b) + $\frac{m+n}{c}$

Вычитание:
а $\frac{m}{c}$ - b $\frac{n}{c}$ = (а-b) + $\frac{m-n}{c}$

1) 6 $\frac{4}{9}$ + 3 $\frac{5}{9}$ = (6+3) + $\frac{4+5}{9}$ = 9 $\frac{9}{9}$ = 10

2) 10 $\frac{11}{19}$ + 5 $\frac{14}{19}$ = (10+5) + $\frac{11+14}{19}$ = 15 $\frac{25}{19}$ = 16 $\frac{6}{19}$

3) 2 $\frac{3}{13}$ + 2 $\frac{11}{13}$  = (2+2) + $\frac{3+11}{13}$ = 4 $\frac{14}{13}$ = 5 $\frac{1}{13}$

4) 1 $\frac{5}{8}$ + 3 $\frac{7}{8}$ = (1+3) + $\frac{5+7}{8}$ = 4 $\frac{12}{8}$ = 4 $\frac{3}{2}$ = 5 $\frac{1}{2}$

5) 1- $\frac{3}{11}$ = $\frac{11}{11}$ - $\frac{3}{11}$ = $\frac{11-3}{11}$ = $\frac{8}{11}$

6) 1- $\frac{13}{40}$ = $\frac{40}{40}$ - $\frac{13}{40}$ = $\frac{40-13}{40}$ = $\frac{27}{40}$

7) 4 - 1 $\frac{4}{7}$ = 4 - $\frac{11}{7}$ = $\frac{4*7}{7}$ - $\frac{11}{7}$ = $\frac{28}{7}$ - $\frac{11}{7}$ = $\frac{28-11}{7}$ = $\frac{17}{7}$ = 2 $\frac{3}{7}$


8) 10 - 9 $\frac{3}{10}$ = 10 - $\frac{93}{10}$ = $\frac{10*10}{10}$ - $\frac{93}{10}$ = $\frac{100}{10}$ -
$\frac{93}{10}$ = $\frac{100-93}{10}$ = $\frac{7}{10}$

9) 5 $\frac{2}{7}$ - 2 $\frac{5}{7}$ = 4 $\frac{9}{7}$ - 2
$\frac{5}{7}$ = (4-2) + $\frac{9-5}{7}$ = 2 $\frac{4}{7}$

! (5 $\frac{2}{7}$ = 4 + 1 $\frac{2}{7}$= 4 + $\frac{9}{7}$ = 4 $\frac{9}{7}$)

10) 14 $\frac{6}{20}$ - 8 $\frac{12}{20}$ = 13 $\frac{26}{20}$ - 8 $\frac{12}{20}$ = (13-8) + $\frac{26-12}{20}$ = 5 $\frac{14}{20}$ = 5 $\frac{7}{10}$

11) 8 $\frac{3}{14}$ - 5 $\frac{9}{14}$ = 7 $\frac{17}{14}$ - 5 $\frac{9}{14}$ = (7-5) + $\frac{17-9}{14}$ = 2
$\frac{8}{14}$ = 2 $\frac{4}{7}$

12) 7 $\frac{10}{21}$ - 4 $\frac{16}{21}$ = 6 $\frac{31}{21}$ - 4 $\frac{16}{21}$ = (6-4) + $\frac{31-16}{21}$ = 2
$\frac{15}{21}$ = 2 $\frac{5}{7}$

13) 14 $\frac{8}{31}$- 6 $\frac{8}{31}$ = (14-6) + $\frac{8-8}{31}$ = 8

14) (12 $\frac{5}{22}$ + 7 $\frac{17}{22}$) - (13 $\frac{7}{23}$ - 9 $\frac{15}{23}$) = 16 $\frac{8}{23}$
1. 12 $\frac{5}{22}$ + 7 $\frac{17}{22}$ = (12+7) + $\frac{5+17}{22}$ = 19 $\frac{22}{22}$ = 20
2. 13 $\frac{7}{23}$ - 9 $\frac{15}{23}$ = 12 $\frac{30}{23}$ - 9 $\frac{15}{23}$ = (12-9) + $\frac{30-15}{23}$ = 3 $\frac{15}{23}$
3. 20 - 3 $\frac{15}{23}$ = 19 $\frac{23}{23}$ - 3 $\frac{15}{23}$ = (19-3) + $\frac{23-15}{23}$ = 16 $\frac{8}{23}$