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Furkat [3]
3 years ago
7

What is the answer to -3/7 ÷ 3/8 in simplest form?

Mathematics
1 answer:
slava [35]3 years ago
6 0
Answer: -1 1/7

Explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes. This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 24 and 21 using 24÷321÷3=8/7. The fraction is the same as 8÷7. Therefore: 3/7÷3/8=1 1/7


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Write a slope- intercept equation for a line with given characters m=-4/5, passes through (-4,-5)
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\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-5})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{4}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{-\cfrac{4}{5}}[x-\stackrel{x_1}{(-4)}]\implies y+5=-\cfrac{4}{5}(x+4) \\\\\\ y+5=-\cfrac{4}{5}x-\cfrac{16}{5}\implies y=-\cfrac{4}{5}x-\cfrac{16}{5}-5\implies y=-\cfrac{4}{5}x-\cfrac{41}{5}

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3 years ago
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