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6-78.

What portion of one dollar is represented by each of the following sets of coins? Express each answer both as a fraction and as a percent.

1. One quarter

• Remember that one dollar is $100$ cents and one quarter is $25$ cents.

• $\frac{25}{100}=\frac{1}{4}$

• $25%$

1. Three dimes

• How many cents is three dimes?
How can you write this as a portion of $100$?

• $30\%$. How do you write $30\%$ as a fraction?

1. Eight nickels

• Eight nickels is equal to $40$ cents.
Use parts (a) and (b) to help you express this as a fraction and a percent.

1. $23$ pennies

• If one quarter ($25$ cents) is $25\%$ of a dollar, what percent is $23$ cents?

1. Five quarters

• By how much do you multiply one quarter to get five quarters?
Since you dealt with one quarter in part (a), you can use that as a guide for representing $5$ quarters as a fraction and a percent.

1. Nine dimes

• Use part (b) to help you with this problem.
Since nine dimes is three times three dimes, you need to multiply the answers for part (b) by three.