Answer:
4 2/3 ÷ 1 1/5 = 3 8/9.
Explanation:
We can convert the mixed numbers to improper fractions and then perform the division as follows:
4 2/3 ÷ 1 1/5
= (4 × 3 + 2) ÷ (3 × 1 + 1)
= 14/3 ÷ 6/5
To divide by a fraction, we can multiply by its reciprocal:
= 14/3 × 5/6
= (14 × 5) ÷ (3 × 6)
= 70/18
We can simplify this fraction by finding the greatest common factor of 70 and 18, which is 2:
= (2 × 35) ÷ (2 × 9)
= 35/9
Finally, we can convert this improper fraction back to a mixed number:
35 ÷ 9 = 3 with a remainder of 8
So the final answer is:
4 2/3 ÷ 1 1/5 = 3 8/9.