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I went to a milk product shop to buy some panner. The shopkeeper initially weighted 4/9 part of the paneer in the weighing machine. Then he sliced out 1/6 part of the Panner and gave it to me.

What fraction of Panner did I get?

$Letthetotalpartofpaneerbe\text{'}x\text{'}\phantom{\rule{0ex}{0ex}}Initiallyweightedpaneer=\frac{4}{9}x\phantom{\rule{0ex}{0ex}}Paneerslicedout=\frac{1}{6}x\phantom{\rule{0ex}{0ex}}Paneerleft=\frac{4x}{9}-\frac{x}{6}\phantom{\rule{0ex}{0ex}}=\frac{8x-3x}{18}\phantom{\rule{0ex}{0ex}}=\frac{5x}{18}\phantom{\rule{0ex}{0ex}}=\frac{5x}{18}\phantom{\rule{0ex}{0ex}}ThusthefractionofPaneerhegets=\frac{Paneerleft}{TotalPaneer}=\frac{\frac{5x}{18}}{x}=\frac{5}{18}\phantom{\rule{0ex}{0ex}}$

Regards

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