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

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

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a) The ratio 5 to 9 can be written as the fraction 5/9.

b) The ratio of 3 nickels to 3 quarters can be simplified by dividing both the numerator and denominator by 3.

So, the simplified ratio is 1 nickel to 1 quarter, or 1/1.

a) To write the ratio 5 to 9 as a fraction, we need to put the first number (5) as the numerator and the second number (9) as the denominator. So the fraction is 5/9.

b) To write the ratio of 3 nickels to 3 quarters in simplest form, we can first convert both the nickels and the quarters to their equivalent values in cents.

A nickel is worth 5 cents, so 3 nickels is equal to 3 * 5 = 15 cents.
A quarter is worth 25 cents, so 3 quarters is equal to 3 * 25 = 75 cents.

Now, we can write the ratio as 15 to 75. To simplify this ratio to its simplest form, we need to find the greatest common divisor (GCD) of 15 and 75, which is 15.

Dividing both numbers by 15, we get 15/15 divided by 75/15, which simplifies to 1/5.

Therefore, the ratio of 3 nickels to 3 quarters in simplest form is 1/5.