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2 years ago

In fractions how do you subtract three two from five sixths

Mathematics

1 answer:

irga5000 [103]2 years ago

3 0

$\frac{5}{6} - \frac{3}{2} = \frac{5}{6} - \frac{9}{6} = - \frac{4}{6} - = - \frac{2}{3}$

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A proof can be as follows:

Step-by-step explanation:

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Observe that the set of remainders $\{r_{1},r_{2},...,r_{n+1}\}$ has $n+1$ elements and each element has $n$ possible values. By the Pigenhole principle at least two remainders have the same value. Suppose that this two elements are $a_{i}, a_{j}$ . Then,

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