Write the ratio as a fraction in simplest form.
80:300
4/15
To write the ratio 80:300 as a fraction in simplest form, you need to find the greatest common divisor (GCD) of both numbers and then divide both numbers by that GCD.
Step 1: Find the GCD
The GCD of 80 and 300 can be found by listing their common factors:
Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80
Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300
The common factors are 1, 2, 4, 5, 10, 20.
So, the GCD of 80 and 300 is 20.
Step 2: Divide both numbers by the GCD
Divide both 80 and 300 by 20:
80 ÷ 20 = 4
300 ÷ 20 = 15
The simplified fraction is 4/15.
Therefore, the ratio 80:300 as a fraction in simplest form is 4/15.