Question

7 11/24 - x = 2 5/16

Answer 1

Пошаговое объяснение:

-х= 2 5/16 - 7 11/24

-х= 37/16 - 179/24

-х= -247/48

х= 247/48

Answer 2

To solve the equation, we'll first convert the mixed numbers into improper fractions.

7 11/24 can be written as (7 * 24 + 11)/24 = 179/24.

2 5/16 can be written as (2 * 16 + 5)/16 = 37/16.

Now we can rewrite the equation:

179/24 - x = 37/16.

To simplify the equation, we need to find a common denominator for 24 and 16, which is 48.

Multiply both sides of the equation by 48 to clear the denominators:

48 * (179/24) - 48x = 48 * (37/16).

This simplifies to:

179 * 2 - 48x = 37 * 3.

358 - 48x = 111.

Next, isolate the term with x by moving the constant term to the other side:

-48x = 111 - 358.

-48x = -247.

Finally, solve for x by dividing both sides by -48:

x = (-247) / (-48).

x ≈ 5.1458.

Therefore, the solution to the equation 7 11/24 - x = 2 5/16 is x ≈ 5.1458.