Multiply each of the following. Write your answer as a simplified fraction.

1. 4/7 * 5 = 20/7

2. 15/28 * 7/9 = 105/252

3. -3 1/5 * 7/8 = -56/20

Your answers are right -- except they need to be simplified.

1. simplified is 2 6/7

2. simplified is 35/84
3. simplified is 2 4/5
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35/84 = 5/12

-56/20 = -2 4/5

To multiply fractions, you need to follow these steps:

1. Multiply the numerators (the numbers on top) together.
2. Multiply the denominators (the numbers on the bottom) together.
3. Simplify the fraction if possible by dividing the numerator and denominator by their greatest common divisor.

Let's apply these steps to the given problems:

1. The first problem is multiplying a fraction (4/7) by a whole number (5). To do this, we can convert the whole number to a fraction by placing it over 1. So, 5 can be written as 5/1. Now, we can multiply the numerators (4 * 5 = 20) and the denominators (7 * 1 = 7) to get 20/7. This fraction cannot be simplified further, so the answer is 20/7.

2. In the second problem, we are multiplying two fractions (15/28 and 7/9). We multiply the numerators (15 * 7 = 105) and the denominators (28 * 9 = 252) to get 105/252. To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor (GCD), which is 21. Dividing 105 by 21, we get 5, and dividing 252 by 21, we get 12. Therefore, the simplified fraction is 5/12.

3. The third problem involves multiplying a mixed number (-3 1/5) by a fraction (7/8). First, we need to convert the mixed number to an improper fraction. To do this, we multiply the whole number (-3) by the denominator (5) and add the result to the numerator (1), giving us -15 + 1 = -14. The denominator remains the same, so we have -14/5. Next, we multiply the numerators (-14 * 7 = -98) and the denominators (5 * 8 = 40) to get -98/40. Finally, we can simplify this fraction by dividing the numerator and denominator by their GCD, which is 2. Dividing -98 by 2 gives us -49, and dividing 40 by 2 gives us 20. Therefore, the simplified fraction is -49/20.