Question

( 3 5/6 + а) - 2 1/6=5;            8 6/13 - (b +9/13) = 4 2/13

Answer 1

А)3 5/6 +a - 2 1/6=5
2 4/6 +a=5
a=5-2 2/3
a=4 3/3 - 2 2/3
 a=2 1/3
Ответ: 2 1/3

б) 8 6/13-(b+9/13)=4 2/13
7 19/13 -b-9/13=4 2/13
7 10/13-4 2/13=b
b=3 8/13
Ответ: 3 8/13

Answer 2

To solve the equations:

1. $3\frac{5}{6} + a - 2\frac{1}{6} = 5$
2. $8\frac{6}{13} - (b + \frac{9}{13}) = 4\frac{2}{13}$

Let's start with the first equation:

1. $3\frac{5}{6} + a - 2\frac{1}{6} = 5$

First, subtract $2\frac{1}{6}$ from both sides:

$3\frac{5}{6} + a - 2\frac{1}{6} - 2\frac{1}{6} = 5 - 2\frac{1}{6}$

Simplify:

$3\frac{5}{6} + a - 2\frac{1}{3} = 5 - 2\frac{1}{6}$

Now, subtract $3\frac{5}{6}$ from both sides:

$3\frac{5}{6} + a - 2\frac{1}{3} - 3\frac{5}{6} = 5 - 2\frac{1}{6} - 3\frac{5}{6}$

Simplify:

$a - 2\frac{1}{3} = 5 - 2\frac{1}{6} - 3\frac{5}{6}$

Now, find a common denominator on the right side:

$a - 2\frac{1}{3} = \frac{30}{6} - \frac{2}{6} - \frac{23}{6}$

Combine the fractions on the right side:

$a - 2\frac{1}{3} = \frac{30 - 2 - 23}{6}$

Simplify:

$a - 2\frac{1}{3} = \frac{5}{6}$

Now, add $2\frac{1}{3}$ to both sides to isolate (a):

$a - 2\frac{1}{3} + 2\frac{1}{3} = \frac{5}{6} + 2\frac{1}{3}$

Simplify:

$a = \frac{5}{6} + \frac{15}{3}$

$a = \frac{5}{6} + 5$

Now, add the fractions:

$a = \frac{5}{6} + \frac{30}{6} = \frac{35}{6}$

So, the solution to the first equation is $a = \frac{35}{6}$