there are 16 girls and 20 boys in the school band. what is the ratio of girls to boys? Simplest form

16/20 = 4/5

i just need a little more help

To find the ratio of girls to boys in simplest form, we need to divide the number of girls by the number of boys:

Ratio of girls to boys = Number of girls / Number of boys

Ratio of girls to boys = 16 / 20

To simplify this ratio, we can divide both numbers by their greatest common divisor, which is 4:

Ratio of girls to boys = 4 / 5

Therefore, the ratio of girls to boys in simplest form is 4:5.

To find the ratio of girls to boys, we need to find the greatest common divisor (GCD) of the numbers 16 and 20. The GCD is the largest number that divides both numbers without leaving a remainder.

To find the GCD, we can use the Euclidean algorithm. We start by dividing 20 by 16:

20 ÷ 16 = 1 remainder 4

Since there is a remainder, we divide 16 by the remainder (4):

16 ÷ 4 = 4

This time, there is no remainder, so the GCD is 4.

Now we divide both the number of girls and the number of boys by the GCD to simplify the ratio.

Number of girls / GCD = 16 / 4 = 4
Number of boys / GCD = 20 / 4 = 5

Therefore, the simplest form of the ratio of girls to boys is 4:5.