Question

(x-2 7/8) + 3 5/6 = 4 2/3

Answer 1

Ответ:

(х-2 7\8)+3 5\6=4 2\3

Х-2 7/8=4 2/3-3 5/6

Х-2 7/8=10/6-5/6

Х=5/6+2 7/8

Х=2 20/24+21/24

Х=2 41/24

Х=3 17/24

Answer 2

Ответ: 3 17/24.

Пошаговое объяснение:

Answer 3

To solve the equation $(x - \frac{7}{8}) + \frac{3}{6} = \frac{4}{3},$ you can follow these steps:

Step 1: Convert the mixed numbers to improper fractions:

• $\frac{7}{8}$ as an improper fraction remains $\frac{7}{8}$.
• $\frac{3}{6}$ simplifies to $\frac{1}{2}$.
• $\frac{4}{3}$ remains $\frac{4}{3}$.

Now, the equation becomes: $(x - \frac{7}{8}) + \frac{1}{2} = \frac{4}{3}.$

Step 2: Get a common denominator for the fractions on the left side of the equation. In this case, the common denominator is 8:

$\frac{8}{8}(x - \frac{7}{8}) + \frac{4}{8} = \frac{8}{8} \cdot \frac{4}{3}.$

This simplifies to: $(8x - 7) + 4 = \frac{32}{3}.$

Step 3: Combine like terms on the left side of the equation: $8x - 7 + 4 = \frac{32}{3}.$

$8x - 3 = \frac{32}{3}.$

Step 4: Isolate the variable $x$ by adding 3 to both sides of the equation:

$8x - 3 + 3 = \frac{32}{3} + 3.$

This simplifies to: $8x = \frac{32}{3} + \frac{9}{3}.$

$8x = \frac{41}{3}.$

Step 5: Solve for $x$ by dividing both sides by 8:

$\frac{1}{8}(8x) = \frac{41}{3} \cdot \frac{1}{8}.$

$x = \frac{41}{24}.$

So, the solution to the equation is $x = \frac{41}{24}$.