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whats 2 over 3 divided by negetive 3 over 4

Guest Aug 23, 2017
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 #1
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whats 2 over 3 divided by negetive 3 over 4

 

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

 

laugh  !

asinus  Aug 23, 2017
 #2
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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. 
\(-\frac{2}{36}=-\frac{1}{18}=-0.0\overline{55}\)  
   
TheXSquaredFactor  Aug 23, 2017
 #3
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2 over 3 divided by negative  over 4= -1/18 or 0.055

Guest Aug 24, 2017

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