Question

1) 5/16-(3/16-х)=5/8 2) (m+8/15)-2/15=0,8 3)5/24-(х-1/6)=-7/24 4)(у+5/18)+4/9=5/9

Answer 1

Ответ:

Пошаговое объяснение:

1.

5/16 - 3/16 + х = 5/8

х = 5/8 - 5/16 + 3/16

х = 10/16 - 5/16 + 3/16

х = 8/16

х = 1/2

2.

m + 8/15 - 2/15 = 8/10

m = 8/10 - 8/15 + 2/15

m = 24/30 - 16/30 + 4/30

m = 12/30

m = 2/5

3.

5/24 - x + 1/6 = -7/24

-x = -7/24 - 5/24 - 1/6

-x = -7/24 - 5/24 - 4/24

-x = -16/24

-x = -2/3

x = 2/3

4.

y + 5/18 + 4/9 = 5/9

y = 5/9 - 5/18 - 4/9

y = 10/18 - 5/18 - 8/18

y = -3/18

y = -1/6

Answer 2

To solve these equations, we'll go through them one by one:

1. $\frac{5}{16} - \left(\frac{3}{16} - x\right) = \frac{5}{8}$

First, simplify inside the parentheses:

$\frac{5}{16} - \frac{3}{16} + x = \frac{5}{8}$

$\frac{1}{8} + x = \frac{5}{8}$

Subtract $\frac{1}{8}$ from both sides:

$x = \frac{5}{8} - \frac{1}{8}$

$x = \frac{4}{8}$

$x = \frac{1}{2}$

2. $\left(\frac{m}{15}\right) + \frac{8}{15} - \frac{2}{15} = 0.8$

Combine the fractions on the left side:

$\frac{m}{15} + \frac{6}{15} = 0.8$

$\frac{m + 6}{15} = 0.8$

Multiply both sides by 15:

$m + 6 = 12$

Subtract 6 from both sides:

$m = 6$

3. $\frac{5}{24} - \left(x - \frac{1}{6}\right) = -\frac{7}{24}$

Simplify inside the parentheses:

$\frac{5}{24} - x + \frac{1}{6} = -\frac{7}{24}$

Combine the fractions:

$\frac{5}{24} + \frac{4}{24} - x = -\frac{7}{24}$

$\frac{9}{24} - x = -\frac{7}{24}$

$-x = -\frac{16}{24}$

$x = \frac{2}{3}$

4. $\left(\frac{y}{18}\right) + \frac{5}{18} + \frac{4}{9} = \frac{5}{9}$

Combine the fractions on the left side:

$\frac{y}{18} + \frac{9}{18} = \frac{5}{9}$

$\frac{y + 9}{18} = \frac{5}{9}$

Multiply both sides by 18:

$y + 9 = 10$

Subtract 9 from both sides:

$y = 1$

Here are the solutions for each equation:

1. $x = \frac{1}{2}$