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Fractions

5 out of 4 people have trouble with fractions. Don't be one of them.

Componendo and Dividendo

If \(\displaystyle \frac{a}{b} = \frac{3}{14},\) what is \(\displaystyle \frac{b-a}{b+a}?\)

If \(\displaystyle \frac{x^2+8x-9}{x^2-8x-9} = \frac{x+9}{x-9},\) what is \(x?\)

If \( \frac{a-b}{a+b} = \frac{ 3} { 8 } \), then find the value of

\[ \frac{ 5a + 3b } { 5a - 3b }. \]

If \(\displaystyle \frac{\sqrt{7}+x}{\sqrt{7}-x} = 7,\) what is \(x?\)

If \(\displaystyle \frac{20+x}{20-x} = 4,\) what is \(x?\)

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