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Theory

$a \cdot \frac{1}{b} = \frac{a}{b}$

When a number is multiplied by a fraction, it's the same thing as multiplying the numerator by that number. If the numerator is

1

it's multiplied by

1,

and thus, doesn't change its value.

2 \cdot \frac{1}{3} = \frac{2 \cdot 1}{3} = \frac{2}{3}

This can be seen as the factor replacing the numerator if the numerator is

1 .

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