Math, asked by nihalsingh10853, 6 months ago

find using distributivity 1/5 X 2/15 - -¹/5 X 2/5​

Answers

Answered by pulakmath007
22

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TO SOLVE

Using Distributive Property

\displaystyle \sf{   \frac{1}{5}  \times  \frac{2}{15}  -  \frac{1}{5}  \times  \frac{2}{5} }

PROPERTY TO BE IMPLEMENTED

DISTRIBUTIVE PROPERTY

For three Real Numbers a , b , c

 \sf{a \times (b + c) =  (a \times b) + (a \times c) \: }

CALCULATION

\displaystyle \sf{   \frac{1}{5}  \times  \frac{2}{15}  -  \frac{1}{5}  \times  \frac{2}{5} }

 = \displaystyle \sf{   \frac{1}{5}  \times   \bigg(\frac{2}{15}  -    \frac{2}{5} \bigg) } \:  \:  \: ( \: by \: distributive \: property \: )

 = \displaystyle \sf{   \frac{1}{5}  \times  \bigg( -  \frac{ 5}{15}  \bigg) }

 = \displaystyle \sf{     -  \frac{1}{15}   }

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