What fraction would these coins represent?
3 Quarters, 4 nickels, 2 dimes
I can write a fraction for each of them. But I don't know how to write a fraction for all of them together. Can someone explain this to me?
"write a fraction" -- of what? One dollar? Five dollars? Ten dollars? What?
It didn't say on the test. It gave me the coins and then asked what fraction it would represent. Then it gave 4 answer choices. I can't remember the answer choices.
To find the fraction that represents a given set of coins, we need to first determine the total value of the coins and then express that value as a fraction.
In this case, we have 3 quarters, 4 nickels, and 2 dimes.
To calculate the total value, we need to determine the value of each type of coin and then sum them up.
First, let's find the value of each type of coin:
- A quarter is worth 25 cents, so 3 quarters would be 3 * 25 = 75 cents.
- A nickel is worth 5 cents, so 4 nickels would be 4 * 5 = 20 cents.
- A dime is worth 10 cents, so 2 dimes would be 2 * 10 = 20 cents.
Now, let's add up the values of these coins:
75 cents + 20 cents + 20 cents = 115 cents.
Since there are 100 cents in a dollar, we can express 115 cents as the fraction 115/100.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case:
115/5 รท 100/5 = 23/20.
So, the fraction that represents the given set of coins, 3 quarters, 4 nickels, and 2 dimes, is 23/20.