Question

The fractions in the equation (x)/(3)=8+(x-7)/(4) can be eliminated by multiplying both sides by the of (x)/(3) and (x-7)/(4), which is

Answer 1

To eliminate the fractions in the equation (x/3) = 8 + (x-7)/4, you can multiply both sides of the equation by the least common multiple (LCM) of the denominators of the fractions, which in this case is 12.

Step-by-step explanation:

To eliminate the fractions in the equation (x/3) = 8 + (x-7)/4, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators of the fractions. In this case, the LCM of 3 and 4 is 12. So we multiply both sides of the equation by 12.

After multiplying, the equation becomes 12(x/3) = 12(8) + 12(x-7)/4. Simplifying, we get 4x = 96 + 3(x-7).

Now we can solve for x by simplifying and collecting like terms. Distributing 3 to x-7, we get 4x = 96 + 3x - 21. Combining like terms, we have 4x - 3x = 96 - 21, which simplifies to x = 75.