A pill weighs 70 mg. 7/9 of the pill is the active ingredient. How many milligrams are in the part of the pill that is not the active ingredient?

So if 7/9 is active that means 2/9 is not active.

I did 2 divided by 9 which gives me .22

I then multiplied 70 by .22 which gives me 15.4 mg.

I keep getting the answer wrong with this method. May someone please help me?

2/9 = 0.2222

0.2222 * 70 = 15.55

So my mistake was I didn't use enough digits after the decimal place?

That's the only I could see.

Ah, thank you. I really appreciate it. (:

You're very welcome.

To find the part of the pill that is not the active ingredient, you correctly stated that 2/9 of the pill is not active. However, the method you used to calculate the weight of the inactive part is incorrect.

To calculate the weight of the inactive part of the pill, you need to multiply the total weight of the pill (70 mg) by the fraction representing the inactive part (2/9).

Here's how you can do it:

1. Write down the fraction for the inactive part: 2/9.
2. Multiply the fraction by the total weight of the pill: 2/9 * 70 mg.

To do this multiplication, you can follow these steps:

Step 1: Multiply the numerators (the numbers on top): 2 * 70 = 140.
Step 2: Multiply the denominators (the numbers on bottom): 9 * 1 = 9.
Step 3: Write down the result as a fraction: 140/9.

Now, the result is a fraction. To convert it to a decimal and get the weight in milligrams, you divide the numerator (140) by the denominator (9):

140 ÷ 9 ≈ 15.56 mg.

So, the weight of the inactive part of the pill is approximately 15.56 mg.