Divide. write your answer as a fraction or a mixed number in simplest form. 3 3\4 ÷ 1 1\8

Hello! The first thing we will do is convert the mixed numbers into improper fractions. We will do this by multiply the denominator and the whole number together, and then adding the value of the numerator. Let's start. 4 * 3 is 12. 12 + 3 is 15. That makes the fraction 15/4. 8 * 1 is 8. 8 + 1 is 9. That makes the fraction 9/8. Keep in mind, this formula is to find the numerator, but you will use the value of the denominator when converting the fraction. It turns the expression into this:

15/4 ÷ 9/8

The formula for dividing fraction is keep, change, flip. You keep the first fraction the same, change division into multiplication, and flip the second fraction over by its reciprocal. That means that the expression now becomes 15/4 * 8/9. We multiply straight across now. 15 * 8 is 120. 4 * 9 is 36. That makes the fraction 120/36 or 3 1/3 in simplest form. There. The answer is 3 1/3.