4 1/3 divided by -1 1/5

Answer 1

To divide fractions, you need to follow these steps:

1. Convert mixed numbers to improper fractions.

To convert 4 1/3 to an improper fraction, you multiply the whole number (4) by the denominator (3) and add the numerator (1). The result is the new numerator. So, 4 1/3 as an improper fraction is (4 x 3 + 1) / 3 = 13/3.

To convert -1 1/5 to an improper fraction, you multiply the whole number (-1) by the denominator (5) and add the numerator (1). The result is the new numerator. So, -1 1/5 as an improper fraction is (-1 x 5 + 1) / 5 = -6/5.

Now we have 13/3 divided by -6/5.

2. Keep the first fraction as it is, and change "divided" to "multiplied" with the reciprocal of the second fraction.

Reciprocal means flipping the fraction upside down. Therefore, the reciprocal of -6/5 is -5/6.

Now the expression becomes: 13/3 * -5/6.

3. Multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.

(13 * -5) / (3 * 6) = -65/18.

So, 4 1/3 ÷ -1 1/5 = -65/18.