Question

negative 5 over 6 as a fraction divided by negative 15 over 6 as a fraction?? show work!



 



Answer 1

-5/6 / -15/6
-5/6 *6 / -15/6*6
-5/-15
1/3

Answer 2

invert -15/6 and multiply

Answer 3

-5
---
6 -5 6 1
---- = ---- * ----- = ---
-15 6 -15 3
----
6

Answer 4

Whenever you have a fraction divided by another fraction, like jimmy said, you can "flip" the fraction and multiply:
\[\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b}*\frac{d}{c}\]

Answer 5

and we all love multiplying fractions because you can just multiply straight across:
\[\frac{a}{b}*\frac{d}{c} = \frac{ad}{bc}\]

Answer 6

Dividing is really multiplying by the multiplicative inverse (this is why you can "flip" the fraction):
\[\left(-\frac{5}{6}\right) \div \left(-\frac{15}{6}\right) = \left(-\frac{5}{6}\right) \cdot \left(-\frac{15}{6}\right)^{-1} = \left(-\frac{5}{6}\right) \cdot \left(-\frac{6}{15}\right) = \frac{1}{3} \]