Write the ratio of 3 nickels to 3 quarters in simplest form
The number-of-coins ratio or the cents ratio?
I assume they want the ratio of 15 cents to 75 cents. What would 15/75 be in simplest form?
To write the ratio of 3 nickels to 3 quarters in simplest form, we need to reduce it.
First, let's determine the value of 3 nickels. Each nickel is worth 5 cents, so 3 nickels would be 3 * 5 = 15 cents.
Next, let's determine the value of 3 quarters. Each quarter is worth 25 cents, so 3 quarters would be 3 * 25 = 75 cents.
Now we can write the ratio: 15 cents to 75 cents.
To simplify the ratio, we divide both values by their greatest common factor, which is 15.
15 cents ÷ 15 = 1 cent
75 cents ÷ 15 = 5 cents
Therefore, the simplest form of the ratio is 1 cent to 5 cents, or 1:5.
To write the ratio of 3 nickels to 3 quarters in simplest form, we need to express the ratio using the smallest possible whole numbers.
We can begin by converting the nickels and quarters into their respective values in cents.
A nickel is worth 5 cents, so 3 nickels would be equal to 3 * 5 = 15 cents.
A quarter is worth 25 cents, so 3 quarters would be equal to 3 * 25 = 75 cents.
Now we have the ratio of 15 cents to 75 cents.
To simplify the ratio, we can divide both numbers by their greatest common divisor, which is 15 in this case.
Dividing 15 by 15 gives us 1, and dividing 75 by 15 gives us 5.
So, the simplified ratio of 3 nickels to 3 quarters is 1:5.