Question

please answer me please​

Answer 1

Answers:

a) 82/99

b) 23/63

c) –27/10

d) –195/52

e) 1/5

Step-by-step explanation:

$a) \: \frac{ - 3}{ - 11} + \frac{5}{9} \\ = \frac{3}{11} + \frac{5}{9} \\ (lcm = 9 \times 11 = 99) \\ = \frac{27}{99} + \frac{55}{99}$

$= \frac{27 + 55}{99} \\ = \frac{82}{99}$

Hence, answer = 82/99

$b) \: \frac{5}{63} -( \frac{ - 6}{21}) \\ (lcm = 63) \\ = \frac{5}{63} + \frac{18}{63} \\ = \frac{5 + 18}{63} = \frac{23}{63}$

Hence, answer = 23/63

$c) \: \frac{3}{10} × (-9) \\ = \frac{ - 27}{10}$

Hence, answer = –27/10

$d) \: \frac{3}{13} \div( \frac{ - 4}{65} ) \\ = \frac{3}{13} \times \frac{65}{ - 4} \\ = \frac{ - 195}{52}$

Hence, answer = –195/52

$e) \: ((5^2)×5^4)÷5^7 \\ = \frac{(5 \times 5 \times 5 \times 5 \times 5 \times 5)}{(5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5)} \\ = \frac{1}{5}$

Hence, answer = 1/5

Hope it helps!

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