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Gabriel wrote $\frac{12 x}{5 x+10} \div \frac{4}{5}=\frac{12 x \div 4}{(5 x+10) \div 5}=\frac{3 x}{x+2} .$ Is Gabriel's solution correct? Justify your answer.

Gabriel is correct.

Algebra

Chapter 2

THE RATIONAL NUMBERS

Section 3

Multiplying and Dividing Rational Expressions

Fractions and Mixed Numbers

Decimals

Equations and Inequalities

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Lectures

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So this question asked. If Gabriel is correct and writing that the Fraction 12 x over five x plus 10 uh, divided by 4/5 is equal to 12 x vital life for over five Next plus 10 divided by five um, in the interest. He's not correct, because when you divide by a fraction, that's the same as multiplying by a reciprocal. So this is actually equal to 12 x times five over a five x plus 10 times for that.

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