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# whats 2 over 3 divided by negetive 3 over 4

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384
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whats 2 over 3 divided by negetive 3 over 4

Aug 23, 2017

#1
+8251
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whats 2 over 3 divided by negetive 3 over 4

$$\frac{2}{3}:\frac{-3}{4}=-\frac{2}{3}\times\frac{4}{3}\color{blue}=-\frac{8}{9}$$

!

Aug 23, 2017
#2
+2338
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I believe you want to evaluate the expression $$\frac{\frac{\frac{2}{3}}{-3}}{4}$$

When expressions are difficult to evaluate, I like to set the value to a number (I will use x)

 $$x=\frac{\left(\frac{\left(\frac{2}{3}\right)}{-3}\right)}{4}$$ Multiply by 4 on both sides of the equation. $$4x=\frac{\left(\frac{2}{3}\right)}{-3}$$ Multiply by -3 on both sides on both sides. $$-12x=\frac{2}{3}$$ Multiply by 3 on both sides. $$-36x=2$$ Divide by -36 on both sides to isolate x $$x=-\frac{2}{36}=-\frac{1}{18}=-0.0\overline{55}$$

I like doing this because it can sometimes make a seemingly hard problem easier. However, you do not have to do this. You can use your knowledge of fractions and its respective rules to solve this expression, too.

 $$\frac{\left(\frac{\left(\frac{2}{3}\right)}{-3}\right)}{4}$$ First, let's simply just worry about (2/3)/(-3) $$\frac{\frac{2}{3}}{-3}$$ Use the fraction rule that $$\frac{\frac{a}{b}}{c}=\frac{a}{b*c}$$ $$\frac{2}{3*-3}=\frac{2}{-9}$$ Now, insert this into the equation for (2/3)/(-3) $$\frac{\frac{2}{-9}}{4}$$ Let's apply the same fraction rule as before. $$\frac{\frac{2}{-9}}{4}=\frac{2}{-9*4}=\frac{2}{-36}$$ Simplify the fraction by noting that both the numerator and denominator are even, so the GCF is, at least, 2. $$-\frac{2}{36}=-\frac{1}{18}=-0.0\overline{55}$$
Aug 23, 2017
#3
0

2 over 3 divided by negative  over 4= -1/18 or 0.055

Aug 24, 2017