Question

The fraction of a dime that is made of copper is 23/25. However, the treasury wants to decrease the amount of copper by 1/8. What is the quantity of copper in the new dime written as a decimal?

Answer 1

To find the new quantity of copper in the dime, subtract 1/8 of the original fraction from 23/25 and convert it to a decimal.

Step-by-step explanation:

To find the new quantity of copper in the dime, you need to subtract 1/8 of the original fraction from 23/25. Here's how you can do it:

Step 1: Find a common denominator for 23/25 and 1/8. The common denominator is 200.

Step 2: Convert 23/25 and 1/8 to have the same denominator. 23/25 becomes 184/200, and 1/8 becomes 25/200.

Step 3: Subtract 25/200 from 184/200. The result is 159/200.

Step 4: Convert 159/200 to a decimal. Divide 159 by 200 to get 0.795. Therefore, the quantity of copper in the new dime is 0.795 as a decimal.