Question

How would you write the equation to represent three-fourths of a number being 12?

a) ( {3}/{4}x = 12 )

b) ( 12 = {3}/{4}x )

c) ( x div {3}/{4} = 12 )

d) ( {4}/{3}x = 12 )

Answer 1

The equation that represents three-fourths of a number being 12 is (3/4)x = 12, which corresponds to option a). To find the unknown number x, you multiply both sides of the equation by the reciprocal of 3/4, and the final answer is x = 16.

Step-by-step explanation:

To write the equation that represents three-fourths of a number being 12, you would use the equation (3/4)x = 12. This equation states that when you take three-fourths of an unknown number x, it equals 12. To solve for x, you would multiply both sides of the equation by the reciprocal of 3/4, which is 4/3, to isolate x and find its value. The steps would be as follows:

• Multiply both sides by 4/3: (4/3) * (3/4)x = (4/3) * 12
• Simplify the equation: x = 16

Therefore, the correct equation and the answer to the question is option a) (3/4)x = 12.