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# $a\cdot \dfrac{1}{b} = \dfrac{a}{b}$
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. $2\cdot \dfrac{1}{3} = \dfrac{2\cdot 1}{3}=\dfrac{2}{3}$ This can be seen as the factor replacing the numerator if the numerator is $1.$