Good afternoon. I was given a large packet to practice some math to prepare me for drug calculations. For some reason, I cannot get the answer to this fraction. I've tried a few ways, but maybe I forgot a step or am overlooking some silly mistake...

5/6 x 2/3

The answer is 5/9

Could someone help me understand how? Thank you in advance!

just multiply numerators and denominators

5/6 * 2/3 = (5*2)/(6*3) = 10/18 = 5/9

Oh jeeze, thank you so much! I was treating it as if it were an addition or subtraction fraction. I feel so silly. Thank you again!

Good afternoon! I'd be happy to help you understand how to solve the fraction 5/6 multiplied by 2/3.

To multiply fractions, you need to multiply the numerators (the numbers on top) together and the denominators (the numbers on the bottom) together. This will give you a new fraction.

Let's walk through the steps:

Step 1: Multiply the numerators: 5 x 2 = 10.
Step 2: Multiply the denominators: 6 x 3 = 18.

So, the new fraction is 10/18.

However, we can simplify this fraction to its simplest form.

To do this, we need to find the greatest common divisor (GCD) or greatest common factor (GCF) of the numerator and the denominator. In this case, both 10 and 18 have a common factor of 2.

Step 3: Divide both the numerator (10) and the denominator (18) by the common factor (2): 10 ÷ 2 = 5, and 18 ÷ 2 = 9.

So, the simplified or reduced fraction is 5/9.

Therefore, the correct answer to the multiplication of 5/6 and 2/3 is 5/9.

If you'd like to double-check your work, you can divide 5 by 6 and multiply it by 2 divided by 3. You'll find that it also equals 5/9.

I hope this explanation helps you. If you have any further questions, feel free to ask!