Question

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Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$1. \: (i) \: ( \frac{5}{7} \times \frac{ - 9}{2} ) + ( \frac{4}{5} \times \frac{5}{4} - \frac{9}{4} )$

$= \frac{ - 45}{14} + (1 - \frac{9}{4} )$

$= \frac{ - 45}{14} + ( \frac{4 - 9}{4} )$

$= \frac{ - 45}{14} + ( \frac{ - 5}{4} )$

$= \frac{ - 45}{14} - \frac{5}{4}$

$= \frac{ - 90 - 35}{28}$

$= \frac{ - 125}{28}$

$= - 4 \frac{13}{28} (ans)$

$(ii) \: ( \frac{ - 10}{15} \times \frac{ - 15}{10} \times \frac{ - 14}{10} ) + \frac{200}{1500}$

$= \frac{ - 14}{10} + \frac{200}{1500}$

$= \frac{ - 2100 + 200}{1500}$

$= \frac{ - 1900}{1500} = \frac{ - 19}{15}$

$= - 1 \frac{4}{15} (ans)$

(iii) (-4 × -3 × -2 × -1) + (-24)

= 24 + (-24)

= 24 - 24

= 0 (Ans)

$(iv) \: \frac{7}{8} + \frac{8}{9} + \frac{9}{10}$

$= \frac{630 + 640 + 648}{720}$

$= \frac{1918}{720}$

$= 2 \frac{478}{720} = 2\frac{239}{360}(ans)$

2. (i) x + 15 = 14

=> x = 14 - 15

=> x = -1 (Ans)

(ii) -x + 15 = -15

=> 15 = -15 + x

=> 15 + 15 = x

=> x = 15 + 15

=> x = 30 (Ans)

$(iii) \: \frac{x}{4} \div \frac{5}{4} = \frac{4}{5}$

$= > \frac{x}{4} = \frac{4}{5} \times \frac{5}{4}$

$= > \frac{x}{4} = 1$

=> x = 4 (Ans)