How many parts of a whole group of \( \frac{5}{7} \) are there?

It sounds like you're asking **how many parts of size \( \frac{5}{7} \) make up a whole (which is typically considered as 1)**. To determine this, you can use the concept of dividing the whole by the size of each part. ### **Calculation:** \[ \text{Number of parts} = \frac{\text{Whole}}{\text{Size of each part}} = \frac{1}{\frac{5}{7}} = 1 \times \frac{7}{5} = \frac{7}{5} = 1.4 \] ### **Interpretation:** - **\( 1 \frac{4}{5} \) Parts:** There are **1.4 parts** of size \( \frac{5}{7} \) in a whole. This means you can fit one full part of \( \frac{5}{7} \) and a partial part (\( \frac{2}{5} \) of \( \frac{5}{7} \)) into the whole. ### **Visual Representation:** Imagine a whole divided into 7 equal segments (each representing \( \frac{1}{7} \)). - \( \frac{5}{7} \) would cover 5 out of these 7 segments. - To make up the entire whole (7 segments), you'd need: - **1 full \( \frac{5}{7} \) part (covers 5 segments)** - **An additional \( \frac{2}{7} \), which is \( \frac{2}{5} \) of \( \frac{5}{7} \), to complete the whole.** ### **Conclusion:** There are **\( \frac{7}{5} \) parts** (or **1.4 parts**) of size \( \frac{5}{7} \) in a whole.