Question

34 баллов.
Решите уравнения:

t + 2 11/52 = 7 5/39

8 7/9 - x = 7 8/9

Answer 1

$t + 2 \frac{11}{52} = 7 \frac{5}{39} \\ t = 7 \frac{5}{39} - 2 \frac{11}{52} \\ t = 5 + ( \frac{5}{3 \times 13} - \frac{11}{4 \times 13} ) \\ t =5 + \frac{20 - 33}{4 \times 3 \times 13} \\ t = 5- \frac{1}{12} \\ t =4 \frac{11}{12}$
$8 \frac{7}{9} - x = 7 \frac{8}{9} \ \\x = 8 \frac{7}{9} - 7 \frac{8}{9} \\ x = 1 + \frac{7}{9} - \frac{8}{9} \\ x = 1 - \frac{1}{9} \\ x = \frac{8}{9}$

Answer 2

1)
t+115/52=278/39
t=278/39-115/52
t=59/12 = 4 11/12

2)
79/9-x=71/9
-x=71/9-71/9
-x=-8/9
x=8/9