Question

Complete the inequality.
(-9/8)/(-2 3/4) ? 3/22
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Answer 1

(-3/8)/(-2 3/4) = 3/22

Explanation:

Solve the following;

`(\left(-(3)/(8)\right))/(\left(-2(3)/(4)\right))`

`=(\left(-(3)/(8)\right))/(\left(-(11)/(4)\right))`

`\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(-b)=(a)/(b)`

`=((3)/(8))/((11)/(4))`

`\mathrm{Apply\:the\:fraction\:rule}:\quad ((a)/(b))/((c)/(d))=(a\cdot \:d)/(b\cdot \:c)`

`=(3\cdot \:4)/(8\cdot \:11)`

`(3)/(22)`

Thus,
`(\left(-(3)/(8)\right))/(\left(-2(3)/(4)\right))` =
`(3)/(22)`

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