+238 a boy asked what is 16/17 of a certain fraction .by mistake he divided the fraction by 16/17 and got an answer,which exceeds the correct answer by 33/340.the correct answer is ?
+118609 Hi Mat,
$$\\x\div\frac{16}{17}-\frac{33}{340}=x\times\frac{16}{17}\\\\
x\times\frac{17}{16}-\frac{33}{340}=\frac{16x}{17}\\\\
\frac{17x}{16}-\frac{16x}{17}=\frac{33}{340}\\\\
\frac{17^2x}{16*17}-\frac{16^2x}{17*16}=\frac{33}{340}\\\\
\frac{17^2x-16^2x}{4*4*17}=\frac{33}{17*4*5}\\\\
\frac{289x-256x}{4}=\frac{33}{5}\\\\
\frac{33x}{4}=\frac{33}{5}\\\\
\frac{x}{4}=\frac{1}{5}\\\\
x=\frac{4}{5}\\\\$$
This answer needs to be checked. 
+118609 Hi Mat,
$$\\x\div\frac{16}{17}-\frac{33}{340}=x\times\frac{16}{17}\\\\
x\times\frac{17}{16}-\frac{33}{340}=\frac{16x}{17}\\\\
\frac{17x}{16}-\frac{16x}{17}=\frac{33}{340}\\\\
\frac{17^2x}{16*17}-\frac{16^2x}{17*16}=\frac{33}{340}\\\\
\frac{17^2x-16^2x}{4*4*17}=\frac{33}{17*4*5}\\\\
\frac{289x-256x}{4}=\frac{33}{5}\\\\
\frac{33x}{4}=\frac{33}{5}\\\\
\frac{x}{4}=\frac{1}{5}\\\\
x=\frac{4}{5}\\\\$$
This answer needs to be checked.
