Question

7целых 9/16 - ( x-2целые3/16)=4целых11/16

Answer 1

Ответ:

$5\frac{1}{16}$

Пошаговое объяснение:

$7\frac{9}{16}-(x-2\frac{3}{16})=4\frac{11}{16}$

Раскроем скобки и преобразуем смешанные дроби в неправильные:

$\frac{121}{16}-x+\frac{35}{16}=\frac{75}{16}$

Сложим дроби левой части уравнения и получим:

$\frac{156}{16}-x=\frac{75}{16}$

Выразим "-x":

$-x=\frac{75}{16}-\frac{156}{16}$

$-x=-\frac{81}{16}$

Поменяем знаки уравнения и выделим целую часть:

$x=5\frac{1}{16}$

Answer 2

$7 \frac{9}{16} - (x - 2 \frac{3}{16} ) = 4 \frac{11}{16}$

$x - 2 \frac{3}{16} = 7 \frac{9}{16} - 4 \frac{11}{16}$

$x - 2 \frac{3}{16} = 2 \frac{14}{16}$

$x = 2 \frac{14}{16} + 2 \frac{3}{16}$

$x = 4 \frac{17}{16}$

$x = 5 \frac{1}{16}$

Answer 3

To solve the equation, let's first convert all the mixed numbers to improper fractions:

7 9/16 can be written as (7 * 16 + 9)/16 = 121/16 2 3/16 can be written as (2 * 16 + 3)/16 = 35/16 4 11/16 can be written as (4 * 16 + 11)/16 = 75/16

Now the equation becomes:

121/16 - (x - 35/16) = 75/16

Next, let's simplify the equation step by step:

1. Distribute the negative sign on the second term: 121/16 + (35/16 - x) = 75/16

2. Combine the fractions in the second term: 121/16 + (35/16 - x) = 75/16

3. To isolate x, we want to get rid of the fractions. We can do this by multiplying the entire equation by 16 to eliminate the denominators:

16 * (121/16) + 16 * (35/16 - x) = 16 * (75/16)

This simplifies to:

121 + 35 - 16x = 75

4. Now, combine like terms:

156 - 16x = 75

5. To solve for x, isolate the x term:

-16x = 75 - 156 -16x = -81

6. Finally, divide both sides by -16 to solve for x:

x = -81 / -16

x = 5 1/16

So the solution to the equation is x = 5 1/16.