Answer: 2 and 1/12
Step-by-step explanation: In this problem, we have 5/4 divided by 3/5. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.
5/4 ÷ 3/5 can be rewritten as 5/4 × 5/3.
Now, we are just simply multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators.
[tex](\frac{5}{4})(\frac{5}{3}) = \frac{25}{12}[/tex]
The fraction 25/12 can be converted into a mixed number. We can write an improper fraction as a mixed number by dividing the denominator into the numerator.
Image provided.
Therefore, 5/4 divided by 3/5 = 2 and 1/12.
