Rogelio has 3 one-dollar bills, 5
quarters, 4 dimes, 2 nickels, and 9
pennies. What fraction of the coins
are quarters?
5/total coins = ?
Dollar bills are not coins.
To determine the fraction of coins that are quarters, we need to find the total number of coins and the number of quarters.
Rogelio has 3 one-dollar bills, which are not considered coins. So, we only need to consider the number of quarters, dimes, nickels, and pennies.
To find the total number of coins, add the quantities of quarters, dimes, nickels, and pennies:
5 quarters + 4 dimes + 2 nickels + 9 pennies = 20 coins
The number of quarters is 5. Thus, the fraction of coins that are quarters is given by:
5 quarters / 20 coins
Now we can simplify the fraction. To do so, we can divide both the numerator and denominator by their greatest common divisor, which is 5:
5 quarters ÷ 5 / 20 coins ÷ 5
This simplifies to:
1 quarter / 4 coins
Therefore, the fraction of coins that are quarters is 1/4.