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What is 2/3 - 3/2

 May 23, 2017

Best Answer 

 #2
avatar+2340 
+2

\(-\frac{5}{6}=-0.8\overline3\)

 

\(\frac{2}{3}-\frac{3}{2}\)

 

Above, there is the original expession. To evaluate this, we must have common denominators. To do this, we must multiply the numerator and the denominator. If you multiply 3 by 2 and 2 by 3, then you will have a common denominator:

 

\(\frac{2}{3}*\frac{2}{2}=\frac{4}{6}\)

\(\frac{3}{2}*\frac{3}{3}=\frac{9}{6}\)

 

Notice how I am not actually changing the value of the fraction. I'm multiplying both fractions by 1, so I am not changing the value of the fraction, just the way the number is represented:

 

\(\frac{4}{6}-\frac{9}{6}=-\frac{5}{6}=-0.8\overline3\)

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 May 23, 2017
 #1
avatar
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-5/6 

 May 23, 2017
edited by Guest  May 23, 2017
 #2
avatar+2340 
+2
Best Answer

\(-\frac{5}{6}=-0.8\overline3\)

 

\(\frac{2}{3}-\frac{3}{2}\)

 

Above, there is the original expession. To evaluate this, we must have common denominators. To do this, we must multiply the numerator and the denominator. If you multiply 3 by 2 and 2 by 3, then you will have a common denominator:

 

\(\frac{2}{3}*\frac{2}{2}=\frac{4}{6}\)

\(\frac{3}{2}*\frac{3}{3}=\frac{9}{6}\)

 

Notice how I am not actually changing the value of the fraction. I'm multiplying both fractions by 1, so I am not changing the value of the fraction, just the way the number is represented:

 

\(\frac{4}{6}-\frac{9}{6}=-\frac{5}{6}=-0.8\overline3\)

TheXSquaredFactor May 23, 2017

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