Question

verify that (x÷y)×z is not equal to x -(y×z=) if
x=8/15,y=2/5,z=4/10​

Answer 1

$Given \: x = \frac{8}{15}, \: y = \frac{2}{5},\:and \\z = \frac{4}{10}$

$i ) Value \:of \: ( x \div y ) \times z \\= \big( \frac{\frac{8}{15}}{\frac{2}{5}}\big) \times \frac{4}{10}\\= \big(\frac{8}{15} \times \frac{5}{2}\big)\times \frac{2}{5}\\= \frac{4}{3}\times \frac{2}{5} \\= \frac{8}{15}\: --(1)$

$ii )Value \: of \: x \div ( y \times z ) \\= \frac{8}{15} \div \big( \frac{2}{5} \times \frac{4}{10}\big) \\= \frac{8}{15} \div \big( \frac{4}{25}\big) \\= \frac{8}{15} \times \frac{25}{4} \\= \frac{10}{3} \: ---(2)$

/* From (1) and (2) , we conclude that */

$( x \div y ) \times z ≠ x \div ( y \times z )$

Therefore.,

$\red {( x \div y ) \times z} ≠ \green {x \div ( y \times z )}$

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