Write the ratio of 7 nickels to 2 quarters in simplest form.
35/50 = 7/10
To write the ratio of 7 nickels to 2 quarters in simplest form, we need to first determine the common unit for both quantities.
A nickel is worth 5 cents, and a quarter is worth 25 cents. Since both quantities are measured in cents, we can simplify the ratio by dividing both the number of nickels and the number of quarters by 5 (the value of a nickel).
Dividing 7 by 5 gives us 1 remainder 2. This means we have 1 whole unit (7 divided by 5) and a remainder of 2, which represents an additional 2 cents.
Dividing 2 quarters by 5 gives us 0 remainder 2. This means we have 0 whole units (2 divided by 5) and a remainder of 2, which represents 2 cents.
Therefore, the simplified ratio of 7 nickels to 2 quarters is 1:0.2.