7. \( \frac{5}{8} \bigcirc \frac{4}{10} \)

It looks like you're working with an expression involving two fractions and a circle symbol: \[ \frac{5}{8} \bigcirc \frac{4}{10} \] The circle symbol (\(\bigcirc\)) typically represents an operation, but without additional context, it's unclear which specific operation is intended. Here are some common interpretations and how you would perform each operation with the given fractions: ### 1. **Addition (\(+\))** \[ \frac{5}{8} + \frac{4}{10} \] **Steps:** 1. Find a common denominator. The least common denominator (LCD) of 8 and 10 is 40. 2. Convert each fraction: \[ \frac{5}{8} = \frac{25}{40} \] \[ \frac{4}{10} = \frac{16}{40} \] 3. Add the fractions: \[ \frac{25}{40} + \frac{16}{40} = \frac{41}{40} = 1 \frac{1}{40} \] ### 2. **Subtraction (\(-\))** \[ \frac{5}{8} - \frac{4}{10} \] **Steps:** 1. Find a common denominator (40). 2. Convert each fraction: \[ \frac{5}{8} = \frac{25}{40} \] \[ \frac{4}{10} = \frac{16}{40} \] 3. Subtract the fractions: \[ \frac{25}{40} - \frac{16}{40} = \frac{9}{40} \] ### 3. **Multiplication (\(\times\))** \[ \frac{5}{8} \times \frac{4}{10} \] **Steps:** 1. Multiply the numerators: \[ 5 \times 4 = 20 \] 2. Multiply the denominators: \[ 8 \times 10 = 80 \] 3. Simplify the fraction: \[ \frac{20}{80} = \frac{1}{4} \] ### 4. **Division (\(\div\))** \[ \frac{5}{8} \div \frac{4}{10} \] **Steps:** 1. Multiply by the reciprocal of the second fraction: \[ \frac{5}{8} \times \frac{10}{4} \] 2. Multiply the numerators and denominators: \[ \frac{5 \times 10}{8 \times 4} = \frac{50}{32} \] 3. Simplify the fraction: \[ \frac{50}{32} = \frac{25}{16} = 1 \frac{9}{16} \] ### 5. **Custom Operation** If the circle symbol represents a **custom or specific operation** defined in your materials (e.g., a special function or composition), please provide more details or the definition of that operation. Without that information, it's challenging to determine the exact steps needed. --- **Summary:** - If \(\bigcirc\) stands for addition, subtraction, multiplication, or division, the above calculations show how to compute each. - If \(\bigcirc\) represents a different operation, please clarify its definition so I can assist you accurately. Feel free to provide more context or specify the operation, and I'll be happy to help further!