Final answer:
To find the product of 1 1/4 and 5 3/5, first convert them to improper fractions (5/4 and 28/5), then multiply their numerators and denominators. Simplify the resulting fraction 140/20 to get the final answer, which is 7.
Step-by-step explanation:
The question involves performing a multiplication of two mixed numbers: 1 1/4 and 5 3/5. In order to multiply these numbers, we can first convert them into improper fractions.
- 1 1/4 is equivalent to 5/4 (since 1 × 4 + 1 = 5).
- 5 3/5 is equivalent to 28/5 (since 5 × 5 + 3 = 28).
Next, we multiply these improper fractions:
- Multiply the numerators: 5 × 28 = 140.
- Multiply the denominators: 4 × 5 = 20.
- The product in fractional form is 140/20.
- Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 20: 140/20 = 7/1.
Therefore, 140/20 simplifies to 7, so the equation 1 1/4 x 5 3/5 equals 7.