Question

Simplify -9/6 divided by 3/-2

Answer 1

divide fractions, you turn them into positives flip improper fractions to fractions

Answer 2

9/6 * 2/3

Answer 3

can you solve

Answer 4

First, we simplify:
\[\frac{ -9 }{ 6 } \div \frac{ 3 }{ 3 } = \frac{ -3 }{ 2 }\]
We divide the first fraction by 1 (3 divided by 3 is 1) and we express it in a more simpler form. You don't have to do this now, but you would have to simplify later if you didn't...

Then, recognize the following rule:
\[\frac{a}{ b} \div \frac{ c }{ d } = \frac{ a }{ b} \times \frac{ d }{ c}\]
Thus: \[\frac{ -3 }{ 2 } \div \frac{ 3 }{ -2 } = \frac{ -3 }{ 2 } \times \frac{ -2 }{ 3 }\]
Here we can do a quick shortcut, since 3 goes into 3, one time, in the numerator of the first fraction and in the denominator of the second fraction, we can simplify them to -1 and 1 respectively.

We can do this similarly for the twos, creating 1 and -1 respectively. We get:
\[\frac{ -1 }{ 1 } \times \frac{ -1 }{ 1 } = -1 \times -1 = 1\]
Any number divided by 1 is itself, so -1 divided by 1 is -1. Then, when you multiply two negatives, you get a positive, so -1 times -1 = 1.

Answer 5

If the short cut does not make sense to you, let me just prove it works out:
Going back to: \[\frac{ -3 }{2 } \times \frac{ -2 }{ 3 } = \frac{ 6 }{ 6 } = 1\]
Multiply across, -3 times -2 = 6 (neg times neg = pos) and 2 times 3 is 6. So we get 6/6. Any number divided by itself is 1. Thus, we get....1.