Which equation is true?

Question

(1 point)
Responses

3/4=9/16

6/8=4/3

3/5=8/10

12/16=36/48

Answer 1

To determine which equation is true, we can simplify each fraction or compare them directly.

1. 3/4 = 9/16

   • Cross-multiplying gives: $3\times 16=48$ and $4\times 9=36$.
   • Since $48\ne 36$, this equation is false.

2. 6/8 = 4/3

   • Simplifying $6/8$ gives $3/4$.
   • Comparing $3/4$ and $4/3$, we can see they are not equal.
   • Thus, this equation is false.

3. 3/5 = 8/10

   • Simplifying $8/10$ gives $4/5$.
   • Since $3/5$ is not equal to $4/5$, this equation is false.

4. 12/16 = 36/48

   • Simplifying $12/16$ gives $3/4$.
   • Simplifying $36/48$ gives $3/4$ as well.
   • Therefore, $12/16=36/48$ is true.

Thus, the true equation is: 12/16 = 36/48.