Evaluate the following-4-7-9-7-3-5-10-15-

[4/ 7+ 9/7]÷[3/5× 10/ 15]change fraction to like fraction.0ex0ex4× 1/ 7× 1= 4/70ex0ex0ex0ex=[ 4+( 9)/7]÷[3× ( 10)/5× ( 15)]0ex0ex= 13/7÷30/750ex0ex= 13/7×75/3 ...

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Evaluate the ...

Question

Evaluate the following:
$[\frac{4}{- 7} + \frac{- 9}{7}] \div [\frac{3}{5} \times \frac{- 10}{- 15}]$

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Solution

$[\frac{4}{- 7} + \frac{- 9}{7}] \div [\frac{3}{5} \times \frac{- 10}{- 15}]$
change fraction to like fraction.
$\frac{4 \times - 1}{- 7 \times - 1} = \frac{- 4}{7} = [\frac{- 4 + (- 9)}{7}] \div [\frac{3 \times (- 10)}{5 \times (- 15)}] = \frac{- 13}{7} \div \frac{30}{75} = \frac{- 13}{7} \times \frac{75}{30} = \frac{- 975}{210} = \frac{- 65}{14}$
final answer is $\frac{- 65}{14}$

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Similar questions

Evaluate :
(i) ${(\frac{4}{7})}^{3}$
(ii) ${(\frac{10}{11})}^{3}$
(iii) ${(\frac{1}{15})}^{3}$
(iv) ${(1 \frac{3}{10})}^{3}$

Verify each of the following :

(i) $(\frac{5}{7} \times \frac{12}{13}) \times \frac{7}{18} = \frac{5}{7} \times (\frac{12}{13} \times \frac{7}{18})$
(ii) $\frac{- 13}{24} \times (\frac{- 12}{5} \times \frac{35}{36}) = (\frac{- 13}{24} \times \frac{- 12}{5}) \times \frac{35}{36}$
(iii) $(\frac{- 9}{5} \times \frac{- 10}{3}) \times \frac{21}{- 4} = \frac{- 9}{5} \times (\frac{- 10}{3} \times \frac{21}{- 4})$

Evaluate:

$(i) (\frac{5}{3})^{2} \times (\frac{5}{3})^{2}$

$(i i) (\frac{5}{6})^{6} \times (\frac{5}{6})^{- 4}$

$(i i i) (\frac{2}{3})^{- 3} \times (\frac{2}{3})^{- 2}$

$(i v) (\frac{9}{8})^{- 3} \times (\frac{9}{8})^{2}$

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Evaluate the following:

$[\frac{3}{- 5} \times (- 7)] \times [\frac{4}{7} \div \frac{2}{- 7}]$

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Evaluate the following:4-7+-97÷35×-10-15

4-7+-97÷35×-10-15change fraction to like fraction.4×-1-7×-1=-47=-4+(-9)7÷3×(-10)5×(-15)=-137÷3075=-137×7530=-975210=-6514final answer is -6514

Evaluate the following:
$[\frac{4}{- 7} + \frac{- 9}{7}] \div [\frac{3}{5} \times \frac{- 10}{- 15}]$