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To solve these problems, we need to perform basic arithmetic operations with fractions. Let’s go through them step by step: 1. **Addition of Fractions:** \[ \frac{3}{5} + \frac{4}{7} \] To add these, find a common denominator (35): \[ \frac{3 \times 7}{5 \times 7} + \frac{4 \times 5}{7 \times 5} = \frac{21}{35} + \frac{20}{35} = \frac{41}{35} \] The result is an improper fraction, \(\frac{41}{35}\). 2. **Multiplication of Fractions:** \[ \frac{3}{5} \times \frac{4}{7} \] Multiply the numerators and the denominators: \[ \frac{3 \times 4}{5 \times 7} = \frac{12}{35} \] This simplifies to \(\frac{12}{35}\). 3. **Multiplication of Fractions (Different Pair):** \[ \frac{3}{5} \times \frac{7}{4} \] Again, multiply the numerators and the denominators: \[ \frac{3 \times 7}{5 \times 4} = \frac{21}{20} \] The result is an improper fraction \(\frac{21}{20}\). These operations are required to fill in the blanks with the resulting fractions.