# You have q quarters, d dimes, and n nickels in a piggy bank. How would you write an expression for the total value of coins in dollars?

Jan 28, 2017

$\frac{1}{4} q + \frac{1}{10} d + \frac{1}{20} n$

#### Explanation:

If you had one quarter, it would be worth $25$ cents, or $0.25$ dollars.

$0.25 = \frac{1}{4}$ (that's why it's called one quarter)

Similarly, one dime is worth $10$ cents, or $\frac{1}{10}$ of a dollar,

and a nickel is worth $5$ cents, which is $\frac{1}{20}$ of a dollar,

all because a dollar is worth $100$ cents.