What is 3 4/7 divided by 5?

1. Convert 3 4/7 to an improper fraction: (3 x 7) + 4 = 25, giving 25/7. 2. Write 5 as a fraction: 5/1. 3. Divide by multiplying by the reciprocal: 25/7 x 1/5. 4. Multiply the numerators: 25 x 1 = 25. Multiply the denominators: 7 x 5 = 35. 5. This gives 25/35, and both share a common factor of 5, so dividing both by 5 gives 5/7. 6. 25/7 comes from forgetting to divide by 5 at all, and 4/7 and 3/7 come from misreading the whole number part of 3 4/7. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 4 "Fractions", section 4.3 Multiply and Divide Mixed Numbers and Complex Fractions_