write the ratio as a fraction in simplest form 80:300
A)1/5
B)1/4
c)4
D)4/15
What is 80/300 reduced to its lowest terms?
Right!
To write the ratio 80:300 as a fraction in simplest form, you need to find the greatest common divisor (GCD) of the two numbers and divide both numbers by it. The GCD of 80 and 300 is 20, which can be found by factoring the numbers into their prime factors:
80 = 2^4 × 5
300 = 2^2 × 3 × 5^2
Now, divide both numbers by the GCD of 20:
80 ÷ 20 = 4
300 ÷ 20 = 15
Therefore, the simplified ratio 80:300 is equal to the fraction 4/15.
So, the correct answer is Option D) 4/15.