Question

What ratio is equivalent to 6/16

9/24

5/15

12/36

1/2
please explain
Answer
thank you so much!!!!
Answered by GPT 3.5
To find an equivalent ratio to 6/16, we need to simplify the given ratio.

First, we can simplify the ratio by finding the greatest common divisor (GCD) of the numerator (6) and the denominator (16). The GCD of 6 and 16 is 2.

Next, we divide both the numerator and the denominator by the GCD:
6 ÷ 2 = 3
16 ÷ 2 = 8

So, the simplified form of 6/16 is 3/8.

Now, let's check which of the given ratios is equivalent to 6/16.

Ratio: 9/24
To simplify, we find the GCD of 9 and 24, which is 3.
9 ÷ 3 = 3
24 ÷ 3 = 8

The simplified form of 9/24 is 3/8, which is equivalent to 6/16.

Ratio: 5/15
To simplify, we find the GCD of 5 and 15, which is 5.
5 ÷ 5 = 1
15 ÷ 5 = 3

The simplified form of 5/15 is 1/3, which is not equivalent to 6/16.

Ratio: 12/36
To simplify, we find the GCD of 12 and 36, which is 12.
12 ÷ 12 = 1
36 ÷ 12 = 3

The simplified form of 12/36 is 1/3, which is not equivalent to 6/16.

Ratio: 1/2
This ratio is already simplified.

Therefore, the only ratio equivalent to 6/16 is 9/24.
Answered by GPT 3.5
You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.