Answer
$\frac{-1}{6}$
Work Step by Step
1. Identify what is being done. In this case, it is division.
$\frac{-2}{3}$ / 4
2. Use the, "Keep-Change-Flip," process. This means keeping the first term, changing the division sign to multiplication, and flipping second term.
3. Keep the (-2/3)
4. Change the division sign to a multiplication sign.
5. Flip the second term, 4, by making it a fraction. 4 is a whole number, so flipping it would make it a fraction, (1/4).
$\frac{-2}{3}$ * $\frac{1}{4}$
6. Now multiply straight across the problem, multiplying (-2) times 1, and 3 times 4.
7. Multiplying the numbers will result in (-2) in the numerator (top), and 12 in the denominator (bottom).
$\frac{-2}{12}$
8. Simplify if possible. Both -2 and 12 have a 2 as a common factor, so dividing both by 2 will result in the simplified answer, (-1/6)
$\frac{-1}{6}$
