https://file.aiquickdraw.com/mathbot/file/1726425222992aovxzqh3.jpg

To solve the problem, we are given the ratio of flowers in a bouquet:

\[
\text{Lilies} : \text{Daffodils} : \text{Marigolds} = 7f : 6f : 2f
\]

We are asked to find what fraction of the flowers are **daffodils**.

### Step 1: Calculate the total number of flowers
The total number of flowers in the bouquet is the sum of lilies, daffodils, and marigolds:

\[
\text{Total flowers} = 7f + 6f + 2f = 15f
\]

### Step 2: Find the fraction of daffodils
The number of daffodils is \( 6f \), so the fraction of flowers that are daffodils is:

\[
\frac{\text{Daffodils}}{\text{Total flowers}} = \frac{6f}{15f}
\]

The \( f \)'s cancel out, leaving:

\[
\frac{6}{15}
\]

### Step 3: Simplify the fraction
To simplify \( \frac{6}{15} \), we find the greatest common divisor (GCD) of 6 and 15, which is 3. So we divide both the numerator and denominator by 3:

\[
\frac{6}{15} = \frac{6 \div 3}{15 \div 3} = \frac{2}{5}
\]

Thus, the fraction of flowers that are daffodils is:

\[
\boxed{\frac{2}{5}}
\]

---

Would you like further details on any step or have any questions?

Here are 5 related questions to expand on the topic:
1. If the ratio of lilies to daffodils was changed to \( 5f : 3f : 2f \), what would be the new fraction of daffodils?
2. What is the fraction of lilies in the original bouquet?
3. How many daffodils are in a bouquet containing 90 flowers in total?
4. If the total number of flowers was 60, how many marigolds are there?
5. How would the problem change if the ratio of daffodils doubled?

**Tip:** When working with ratios, always sum the parts to find the total before determining fractions!

A florist sells bouquets containing different flowers. The ratio of lilies to daffodils to marigolds in a bouquet is 7f : 6f : 2f. What fraction of the flowers in the bouquet are daffodils? Give your answer in its simplest form.

Learn how to calculate the fraction of daffodils in a flower bouquet with the given ratio of lilies to daffodils to marigolds (7f:6f:2f). This problem involves using ratios, fractions, and simplification techniques. Suitable for students in Grades 6-8.

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