Answer: 1 and 7/8
Step-by-step explanation: In this problem, we have 10/16 divided by 5/15. 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.
So, 10/16 ÷ 5/15 can be rewritten as 10/16 × 15/5.
Now, we are simply multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators.

Since the fraction 150/8 is not in lowest terms, we need to divide both the numerator and denominator by 10 to get 15/8.
Since 15/8 is an improper fraction, we can change this to a mixed number by dividing the denominator into the numerator.
Image provided.
Therefore, 10/16 divided by 5/15 = 1 and 7/8.