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Mathematics

By what number must be 813-\dfrac{8}{13} multiplied to get 16?

Rational Numbers

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Answer

Let the number be xx

813×x=16x=16÷813x=161×138x=16×131×8x=2088x=26-\dfrac{8}{13} \times x = 16\\[1em] \Rightarrow x = 16 ÷ -\dfrac{8}{13}\\[1em] \Rightarrow x = -\dfrac{16}{1} \times \dfrac{13}{8}\\[1em] \Rightarrow x = -\dfrac{16 \times 13}{1 \times 8}\\[1em] \Rightarrow x = -\dfrac{208}{8}\\[1em] \Rightarrow x = -26

813-\dfrac{8}{13} must be multiplied by -26 so that the product is 16

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