Write the ratio in the simplest form.
45:15 (1 point)
9:3
3:1
1:3
4:1
divide both sides by 15
To simplify a ratio, we need to find the greatest common divisor (GCD) of the two numbers in the ratio and then divide both numbers by the GCD.
First, let's find the GCD of 45 and 15. We can do this by finding the factors of both numbers and then identifying the greatest common number.
Factors of 45: 1, 3, 5, 9, 15, 45
Factors of 15: 1, 3, 5, 15
From the above, we can see that the GCD of 45 and 15 is 15.
Now, we will divide both numbers in the ratio (45 and 15) by the GCD (15):
45 ÷ 15 = 3
15 ÷ 15 = 1
Therefore, the simplified ratio is 3:1.
So, the correct answer is 3:1.
To simplify the ratio 45:15, we need to find the greatest common divisor (GCD) of both numbers and divide both numbers by it.
The GCD of 45 and 15 is 15. So, we can divide both numbers by 15.
45 ÷ 15 = 3
15 ÷ 15 = 1
Therefore, the simplified form of the ratio 45:15 is 3:1.