How do I write an equivalent equation that does not contain fractions for 1/2 x -5 = 1/3
the LCD(2,3) is 6. So, multiply the whole equation by 6:
3x-30 = 2
3/4x - 7 = 1/2
To write an equivalent equation that does not contain fractions, you need to eliminate the fractions by multiplying every term in the equation by the least common multiple (LCM) of the denominators.
In this case, the denominators are 2 and 3, so the LCM of 2 and 3 is 6. Multiply every term in the equation by 6:
6 * (1/2)x - 6 * 5 = 6 * (1/3)
Simplifying this:
(6/2)x - 30 = 6/3
Now, simplify further:
3x - 30 = 2
Thus, the equivalent equation that does not contain fractions is 3x - 30 = 2.