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Mathematics

Evaluate:

85÷2425\dfrac{8}{-5} ÷ \dfrac{24}{25}

Rational Numbers

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Answer

85÷2425=85×2524=8×255×24=200120=53=123\dfrac{8}{-5} ÷ \dfrac{24}{25}\\[1em] = -\dfrac{8}{5} \times \dfrac{25}{24}\\[1em] = -\dfrac{8 \times 25}{5 \times 24}\\[1em] = -\dfrac{200}{120}\\[1em] = -\dfrac{5}{3}\\[1em] = -1\dfrac{2}{3}

Hence, 85÷2425=123\dfrac{8}{-5} ÷ \dfrac{24}{25} = -1\dfrac{2}{3}

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