The fractions 1/7 and 1/8 are special because when they are multiplied the answer is the
same as the difference between them. That is, 1/7 times 1/8= 1/7-1/8= 1/56
Find five other such pairs of numbers.

Respuesta :

Answer:

Any combination where the second number is 1 bigger than the other (e.g 1 and 2, 9 and 10, 1000 and 1001

Step-by-step explanation:

[tex]\dfrac{1}{a}-\dfrac{1}{b}=\dfrac{1}{ab}\implies\dfrac{b}{ab}-\dfrac{a}{ab}=\dfrac{1}{ab}\implies\dfrac{b-a}{ab}=\dfrac{1}{ab}\implies b-a=1\implies\\\\\implies \left[\begin{aligned}b=2,\,a=1\\b=3,\,a=2\\b=4,\,a=3\\b=5,\,a=4\\b=6,\,a=5\\b=7,\,a=6\\\vdots \ \ \ \ \ \ \ \end{aligned}\right.[/tex]

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