To solve this, we need to express the ratio of roses to the total number of flowers as both a fraction and a decimal.

We are given:

• The ratio of roses to carnations is 3 to 7.
• The ratio of roses to the total number of flowers is 3 to 10, since the total number of flowers is 3 roses + 7 carnations = 10 flowers.

Now, let's complete the table based on the ratio of roses to total flowers.

Step 1: Ratio as a fraction

The ratio of roses to total flowers is 3:10, which can be written as the fraction: $\frac{3}{10}$

Step 2: Ratio as a decimal

To express the ratio as a decimal, divide 3 by 10: $\frac{3}{10} = 0.3$

Summary of the table:

Ratio of Roses to Total Flowers	Fraction	Decimal
3:10	$\frac{3}{10}$	0.3

Would you like further details on how this was calculated, or have any questions?

Here are 5 related questions for further exploration:

1. What is the ratio of carnations to the total number of flowers?
2. If Ana has 15 roses, how many carnations does she need to maintain the ratio?
3. If Ana uses 30 carnations, how many total flowers does she have?
4. What would be the ratio of carnations to total flowers in decimal form?
5. How would the ratios change if Ana uses equal numbers of roses and carnations?

Tip: To convert a ratio to a decimal, divide the first part of the ratio by the second part (total or other component).