To solve the equation
5/8 (x-1/2) = 10 the first step is to reverse the multiplication. What number should both sides be divided by
To reverse the multiplication in the equation 5/8(x-1/2) = 10, we need to divide both sides by 5/8.
When dividing by a fraction, we can multiply by its reciprocal. The reciprocal of 5/8 is 8/5.
So, dividing both sides of the equation by 5/8 is equivalent to multiplying both sides by 8/5.
Therefore, to solve the equation, both sides should be divided by 5/8, or multiplied by 8/5.
To solve the equation 5/8(x - 1/2) = 10, the first step is to reverse the multiplication by dividing both sides of the equation by the coefficient of the term being multiplied, which in this case is 5/8.
To divide both sides by 5/8, we can multiply both sides by the reciprocal of 5/8, which is 8/5.
This yields:
(5/8)(x - 1/2) * (8/5) = 10 * (8/5)
Simplifying the equation, the 5/8 and 8/5 cancel out, leaving us with:
(x - 1/2) = 16/5
Therefore, the number that both sides of the equation should be divided by is 5/8, or its reciprocal 8/5.
To reverse the multiplication in the equation 5/8(x-1/2) = 10, you should divide both sides of the equation by 5/8. Dividing both sides by 5/8 is the first step to isolate the variable x.
Dividing both sides by 5/8 can be done by multiplying both sides by the reciprocal of 5/8, which is 8/5. Therefore, the equation becomes:
(5/8)(x-1/2) * (8/5) = 10 * (8/5)
Simplifying this step-by-step, we have:
(5/8) * (x-1/2) * (8/5) = 10 * (8/5)
(x-1/2) * (8/5) = (10 * 8)/5
(x-1/2) * (8/5) = 80/5
(x-1/2) * (8/5) = 16
Now, in the equation (x-1/2) * (8/5) = 16, the next step would be to simplify the left side and solve for the variable x.