Final answer:
To find the result, divide 50 by 5/3, then increase the quotient by 8. The final answer is 38.
Step-by-step explanation:
To find the answer, we need to divide 50 by 5/3 and then increase the quotient by 8. Let's start by converting the mixed number 5/3 into an improper fraction. 5/3 is equal to (3 * 1 + 2)/3, which simplifies to 3/3 + 2/3, or 1 + 2/3. Now, we can divide 50 by 1 + 2/3. When dividing by a mixed number, we can convert it to a fraction and use the division algorithm. The division becomes 50/1/(1 + 2/3), which is the same as multiplying by the reciprocal of 1 + 2/3. So, we have 50/1 * 3/5 = 150/5 = 30. Finally, we need to increase this quotient by 8, which gives us a final answer of 30 + 8 = 38.