Question

(x-17/36)+9/40=13/30

Answer 1

Ответ:

Пошаговое объяснение:

х - 17/36 = 13/30 - 9/40

х - 17/36 = 52/120 - 27/120

х - 17/36 = 25/120

х - 17/36 = 5/24

х = 5/24 + 17/36

х = 15/72 + 34/72

х = 49/72

Answer 2

To solve the equation $(x - \frac{17}{36}) + \frac{9}{40} = \frac{13}{30}$, we can follow these steps:

Step 1: Simplify the equation by finding a common denominator for the fractions involved.

The common denominator for 36, 40, and 30 is 360. Multiply each term by 360 to eliminate the denominators:

$360 \left(x - \frac{17}{36}\right) + 360 \cdot \frac{9}{40} = 360 \cdot \frac{13}{30}$

Simplifying further:

$360x - 360 \cdot \frac{17}{36} + 360 \cdot \frac{9}{40} = 360 \cdot \frac{13}{30}$

Step 2: Simplify the fractions and perform the arithmetic.

The fractions can be simplified as follows:

$360x - \frac{17}{36} \cdot 360 + \frac{9}{40} \cdot 360 = \frac{13}{30} \cdot 360$

Simplifying further:

$360x - 17 \cdot 10 + 9 \cdot 9 = 13 \cdot 12$

$360x - 170 + 81 = 156$

$360x - 89 = 156$

Step 3: Solve for x.

To isolate the variable x, we need to move the constant term (-89) to the other side of the equation by adding 89 to both sides:

$360x - 89 + 89 = 156 + 89$

$360x = 245$

Finally, divide both sides by 360 to solve for x:

$x = \frac{245}{360}$

This fraction can be simplified further if desired.