Cross-multiplication is a great way to compare ratios! Let’s break it down step-by-step:

1. Identify the Ratios: First, let’s figure out the ratios you want to compare. For example, we can look at the ratios $a:b$ and $c:d$.

2. Cross-Multiply: Next, you will multiply across. This means you calculate $a \times d$ and $b \times c$.

3. Compare: Now, it’s time to see what the results tell us:

   • If $a \times d$ is greater than $b \times c$, then $a:b$ is bigger than $c:d$.
   • If $a \times d$ is less than $b \times c$, then $a:b$ is smaller than $c:d$.
   • If they are equal, that means the ratios are the same!

Let’s look at an example:

Compare the ratios $3:4$ and $6:8$:

• When we cross-multiply, we do $3 \times 8$ which equals 24, and $4 \times 6$ which also equals 24.
• Since both results are the same, it shows that $3:4$ and $6:8$ are equal!

And that’s how cross-multiplication helps you compare ratios easily!