Question

please setep by step answer​

Answer 1

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Answer 2

Question

$\sf (a) - \dfrac{3}{5} \times \dfrac{11}{9} \times \dfrac{21}{33} \times - \dfrac{5}{7}$

$\sf(b) - \dfrac{5}{7} \times - \dfrac{8}{6} \times \dfrac{14}{25} \times - \dfrac{9}{16}$

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Concepts

• plus minus =minus
• minus minus =plus (but sign of minus)
• In Multiply minus × minus [- sign gets cancelled]
• when you multiply negative value with positive the resultant will be -ve.

(a)

$\sf \longmapsto(a) - \dfrac{\cancel{{3}}}{5} \times \dfrac{11}{\cancel{{9}}} \times \dfrac{\cancel{{21}}}{33} \times - \dfrac{5}{{\cancel{7}}}$

$\sf \longmapsto - \dfrac{1}{5} \times \dfrac{11}{3} \times \dfrac{3}{33} \times - 5$

$\sf \longmapsto - \dfrac{1}{5} \times \dfrac{11}{3} \times \dfrac{1}{11} \times - 5$

$\sf \longmapsto - \dfrac{1}{ \cancel{{5}}} \times \dfrac{1}{3} \times - { \cancel{5}}$

$\sf \longmapsto - 1 \times \dfrac{1}{3} \times - 1$

$\sf = \dfrac{1}{3}$

(b)

$\sf- \dfrac{5}{7} \times - \dfrac{8}{6} \times \dfrac{14}{25} \times - \dfrac{9}{16}$

$\sf \longmapsto - \dfrac{5}{7} \times - \dfrac{4}{{ \cancel{3} }} \times \dfrac{{ \cancel{14}}}{25} \times - \dfrac{ \cancel{{9}}}{{ \cancel{16} }}$

$\sf \longmapsto - \dfrac{5}{7} \times { \cancel{ - 4}} \times \dfrac{7}{25} \times - \dfrac{3}{{ \cancel{4} }}$

$\sf \longmapsto - \dfrac{ \cancel{{5}}}{7} \times - 1 \times \dfrac{7}{{ \cancel{25}}} \times 3$

$\sf \longmapsto - 1 \times - 1 \times \dfrac{1}{5} \times - 3$

$= - \dfrac{3}{5}$