Question

15-1 1/24x=10 5/6 пожалуйста

Answer 1

Добрый вечер ! Пожалуйста помогите решить !!

Answer 2

To solve the equation $15 - \frac{1}{24}x = \frac{10}{6} + \frac{5}{6}$, follow these steps:

Step 1: Add the fractions on the right-hand side: $\frac{10}{6} + \frac{5}{6} = \frac{15}{6}$.

Step 2: Convert the whole number to a fraction: $\frac{15}{6} = 2\frac{1}{6}$.

Now, the equation becomes $15 - \frac{1}{24}x = 2\frac{1}{6}$.

Step 3: To eliminate the fraction, multiply both sides of the equation by the least common multiple (LCM) of 24 and 6, which is 24:

$24 \times (15 - \frac{1}{24}x) = 24 \times 2\frac{1}{6}$.

Simplify:

$360 - x = 29$.

Step 4: To isolate $x$, subtract 360 from both sides of the equation:

$360 - x - 360 = 29 - 360$.

Simplify:

$-x = -331$.

Step 5: Finally, solve for $x$ by multiplying both sides by -1:

$x = 331$.

The solution to the equation is $x = 331$.