Oblicz wartość podanego wyrażenia. Wynik przedstaw w najprostszej postacia) ( 1 3/5 * 1 1/8 ) : ( 3/.... Question from @majaa0kk

April 2022 1 9 Report

Oblicz wartość podanego wyrażenia. Wynik przedstaw w najprostszej postaci

a) ( 1 3/5 * 1 1/8 ) : ( 3/4 + 1 1/2 ) - 1/5
b) 1 3/5 * ( 1 1/8 : ( 3/4 + 1 1/2 )) - 1/5
c) 1 3/5 * 1 1/8 : ( 3/4 + 1 1/2 ) - 1/5
d) 1 3/5 * ( 1 1/8 : ( 3/4 + 1 1/2 - 1/5 ))

krysia

$a)\\\\( 1\frac{3}{5} * 1\frac{1}{8} ):( \frac{3}{4}+ 1\frac{1}{2} )-\frac{1}{5}=( \frac{\not{8}^1}{5} * \frac{9}{\not{8}^1} ):( \frac{3}{4}+ \frac{3}{2} ) -\frac{1}{5} = \frac{9}{5} :( \frac{3}{4}+ \frac{6}{4} ) -\frac{1}{5}=\\\\=\frac{9}{5}:\frac{9}{4}-\frac{1}{5}=\frac{\not{9}^1}{5}*\frac{4}{\not{9}^1}-\frac{1}{5} = \frac{4}{5}-\frac{1}{5}=\frac{3}{5}\\\\ b)\\\\ 1 \frac{3}{5} * ( 1\frac{ 1}{8} : ( \frac{3}{4} + 1 \frac{1}{2} )) - \frac{1}{5}= \frac{8}{5} * ( \frac{9}{8} : ( \frac{3}{4} + \frac{3}{2} )) - \frac{1}{5}=\frac{8}{5} * ( \frac{9}{8} : ( \frac{3}{4} + \frac{6}{4} )) - \frac{1}{5}=\\\\=\frac{8}{5} * ( \frac{9}{8} : \frac{9}{4} ) - \frac{1}{5}=\frac{8}{5} * ( \frac{\not{9}^1}{\not{8}^2}* \frac{\not{4}^1}{\not{9}^1} ) - \frac{1}{5}=\frac{\not{8}^4}{5}*\frac{1}{\not{2}^1} -\frac{1 }{5}=\frac{4}{5}-\frac{1}{5}=\frac{3}{5}$

$c)\\\\ 1\frac{3}{5} * 1\frac{1}{8} :( \frac{3}{4}+ 1\frac{1}{2} )-\frac{1}{5}= \frac{\not{8}^1}{5} * \frac{9}{\not{8}^1} :( \frac{3}{4}+ \frac{3}{2} ) -\frac{1}{5} = \frac{9}{5} :( \frac{3}{4}+ \frac{6}{4} ) -\frac{1}{5}=\\\\=\frac{9}{5}:\frac{9}{4}-\frac{1}{5}=\frac{\not{9}^1}{5}*\frac{4}{\not{9}^1}-\frac{1}{5} = \frac{4}{5}-\frac{1}{5}=\frac{3}{5} \\\\d)\\\\ 1 \frac{3}{5} * ( 1\frac{ 1}{8} : ( \frac{3}{4} + 1 \frac{1}{2}- \frac{1}{5} )) = \frac{8}{5} * ( \frac{9}{8} : ( \frac{3}{4} + \frac{3}{2} - \frac{1}{5})) =\frac{8}{5} * ( \frac{9}{8} : ( \frac{15}{20} + \frac{30}{20}- \frac{4}{20} )) =\\\\=\frac{8}{5} * ( \frac{9}{8} : ( \frac{45}{20}- \frac{4}{20} )) = \frac{8}{5} * ( \frac{9}{8} : \frac{41}{20} ) = \frac{8}{5} * ( \frac{9}{\not{8}^2} *\frac{\not{20}^5}{41 } ) = \frac{\not{8}^4}{\not{5}^1}*\frac{\not{45}^9}{\not{82}^{41}} =\frac{36}{41}$