Answer :

To write the ratio of 48 coins to 12 kids in two ways, you can follow these steps:

1. Determine the Ratio: Start with the given numbers — 48 coins and 12 kids.

2. Simplify the Ratio:
- To simplify the ratio, find the greatest common divisor (GCD) of 48 and 12. The GCD is the largest number that can evenly divide both 48 and 12.
- The GCD of 48 and 12 is 12.

3. Divide Each Term by the GCD:
- Divide 48 coins by 12:
[tex]\[
\frac{48}{12} = 4
\][/tex]
- Divide 12 kids by 12:
[tex]\[
\frac{12}{12} = 1
\][/tex]

4. Write the Simplified Ratio in Two Ways:
- One way is to keep the order from the original statement: 4 coins to 1 kid, which is written as [tex]\(4:1\)[/tex].
- Another way is to reverse the order, stating the ratio of kids to coins: 1 kid to 4 coins, which is written as [tex]\(1:4\)[/tex].

Therefore, the simplified ratio of 48 coins to 12 kids can be expressed as [tex]\(4:1\)[/tex] or [tex]\(1:4\)[/tex].

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