Question
Write a ratio 12:9 as an equivalent ratio of 4:x. Write your answer as a complete ratio.
Answers
GPT-4o mini
To find an equivalent ratio of 12:9 that matches the form 4:x, we can first simplify the ratio 12:9.
1. Simplify 12:9 by dividing both numbers by their greatest common divisor, which is 3:
\[
12 \div 3 = 4 \quad \text{and} \quad 9 \div 3 = 3
\]
So, \( 12:9 \) simplifies to \( 4:3 \).
Now we can write the simplified ratio as:
\[
4:3
\]
2. Now, we can compare this with \( 4:x \):
\[
4:3 \quad \text{can be written as} \quad 4:x
\]
Here, we see that \( x \) must be \( 3 \) to maintain the ratio.
Thus, the complete ratio is:
\[
4:3
\]
1. Simplify 12:9 by dividing both numbers by their greatest common divisor, which is 3:
\[
12 \div 3 = 4 \quad \text{and} \quad 9 \div 3 = 3
\]
So, \( 12:9 \) simplifies to \( 4:3 \).
Now we can write the simplified ratio as:
\[
4:3
\]
2. Now, we can compare this with \( 4:x \):
\[
4:3 \quad \text{can be written as} \quad 4:x
\]
Here, we see that \( x \) must be \( 3 \) to maintain the ratio.
Thus, the complete ratio is:
\[
4:3
\]