Which expression is equivalent to 9/10 : 2/3. A. 9/3*2/10. B. 10/9*2/3 C. 10/9*3/2 D. 9/10*3/2

The answer is D.

First, you must know the fastest way to solve these types of expressions.

For this example, the goal is to turn the divide symbol into a multiplication operation. Primarily, you have to take the reciprocal of the fraction you are dividing (the second one in the expression). This turns 2/3 into 3/2. Now, the equation reads 9/10 * 3/2.

If you would like to know how this works, let's do the equation together.

9/10 : 2/3

If we turn the second fraction into the number one, then the first fraction divided by one (which equals itself) would be the answer. To do this task,

1 : 2/3 = 3/2. So, we multiply 3/2 to each fraction.

(9/10 * 3/2) : (2/3 * 3/2)

27/20 : 1 = 27/20 = 1 7/20