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Simplify the following rational function: x/y/w/z+a/b
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Is this the expression: \[\ \frac{x}{y} (\frac{w}{z}) + \ \frac{a}{b} \]
If it is then we multiply the two on the left side of the +. \[\ \frac{wx}{yz} \ + \ \frac{a}{b} \]
Then we use cross multiplication to get the same denominator: \[\ \frac{wxb}{byz} \ + \ \frac{ayz}{byz} \ = \ \frac{wxb+ayz}{byz} \]
You can't simplify further so this is the most simplified form.
the expression actually is x over y over w over z plus a over b
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sorry for not making that more clear.
\[\ \frac{\frac{x}{y} }{\frac{w}{z}} = \ \frac{x}{y} \ \times\ \frac{z}{w} \ = \ \frac{zx}{yw} \]
so now you have : \[\ \frac{zx}{yw} \ + \ \frac{a}{b} \ = \ \frac{zxb + ayw}{ywb} \]
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