Question

4 1/12-15/6x=2 17/24​

Answer 1

Объяснение:

4 1/12-15/6x=2 17/24

49/12 - 5/2 х = 65/24

98-60х=65

-60х=65-98

-60х=-33

х=-33:(-60)=33:60

х = 33/60 = 11/20 = 0,55

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удачи))

Answer 2

To solve the equation 4 1/12 - 15/6x = 2 17/24, we need to simplify the mixed numbers and convert them into improper fractions. Then we can perform the necessary arithmetic operations.

First, let's convert the mixed numbers into improper fractions: 4 1/12 can be written as (4 * 12 + 1) / 12 = 49/12. 2 17/24 can be written as (2 * 24 + 17) / 24 = 65/24.

Now, the equation becomes: 49/12 - 15/6x = 65/24.

To simplify the equation, we can find a common denominator for 12 and 24, which is 24. We'll multiply the numerators and denominators of the fractions by the appropriate factors:

(49/12) * (2/2) - (15/6x) * (4/4) = 65/24. (98/24) - (60/24x) = 65/24.

Now, the equation becomes: 98/24 - 60/24x = 65/24.

We can subtract 98/24 from both sides of the equation: 98/24 - 98/24 - 60/24x = 65/24 - 98/24. -60/24x = -33/24.

To isolate x, we need to divide both sides of the equation by -60/24: (-60/24x) / (-60/24) = (-33/24) / (-60/24). x = (-33/24) / (-60/24).

When we divide fractions, we can multiply the first fraction by the reciprocal of the second fraction: x = (-33/24) * (24/(-60)). x = (-33/60).

The final simplified solution is: x = -11/20.