Answer :

To find the ratio of 3 meters to 30 centimeters, follow these steps:

1. Convert meters to centimeters:
- We know that 1 meter is equal to 100 centimeters.
- Therefore, 3 meters is equal to [tex]\( 3 \times 100 = 300 \)[/tex] centimeters.

2. Establish the ratio:
- We now need to compare 300 centimeters to 30 centimeters.
- The ratio of two quantities is found by dividing the first quantity by the second quantity.

3. Calculate the ratio:
- The ratio of 300 centimeters to 30 centimeters is given by [tex]\( \frac{300}{30} \)[/tex].

4. Simplify the ratio:
- [tex]\( \frac{300}{30} = 10 \)[/tex].

Thus, the ratio of 3 meters to 30 centimeters is 10:1.