a) Write the ratio 5 to 9 as a fraction.

b) Write the ratio of 3 nickels to 3 quarters in simplest form

5/9

15:75 = 3:15 = 1:5

a) To write the ratio 5 to 9 as a fraction, you would write it as 5/9.

b) The ratio of 3 nickels to 3 quarters can be written as 3/3 in simplest form.

a) To write the ratio 5 to 9 as a fraction, you can simply write it as 5/9. The number before the colon represents the numerator of the fraction, and the number after the colon represents the denominator.

b) To write the ratio of 3 nickels to 3 quarters in simplest form, we need to determine if there is a common factor between the number of nickels and the number of quarters. In this case, there is. Both numbers are divisible by 3.

3 nickels = 3 * 5 cents = 15 cents
3 quarters = 3 * 25 cents = 75 cents

Since both numbers can be divided by 3, we can simplify the ratio by dividing both the numerator and denominator by 3:

15 cents / 3 = 5 cents
75 cents / 3 = 25 cents

Therefore, the simplest form of the ratio of 3 nickels to 3 quarters is 5 cents to 25 cents, or simply 1/5.