Ejemplo Calcula lassiguiente división:
2 5 : 7 3 = \displaystyle \dfrac{2}{5}:\dfrac{7}{3}= 5 2 : 3 7 = 2 5 ⋅ 3 7 = \displaystyle \dfrac{2}{5}\cdot \dfrac{3}{7}= 5 2 ⋅ 7 3 = 2 ⋅ 3 5 ⋅ 7 = 6 35 \displaystyle \dfrac{2\cdot3}{5\cdot7}=\dfrac{6}{35} 5 ⋅ 7 2 ⋅ 3 = 35 6
Fórmula Si tenemos dos fracciones a b \dfrac{\textcolor{ff6600}{a}}{\textcolor{660099}{b}} b a c d \dfrac{\textcolor{009999}{c}}{\textcolor{cc0000}{d}} d c
a b : c d = a b ⋅ d c = a ⋅ d b ⋅ c \displaystyle \dfrac{\textcolor{ff6600}{a}}{\textcolor{660099}{b}}:\dfrac{\textcolor{009999}{c}}{\textcolor{cc0000}{d}}=\dfrac{\textcolor{ff6600}{a}}{\textcolor{660099}{b}}\cdot\dfrac{\textcolor{cc0000}{d}}{\textcolor{009999}{c}}=\dfrac{\textcolor{ff6600}{a}\cdot\textcolor{cc0000}{d}}{\textcolor{660099}{b}\cdot\textcolor{009999}{c}} b a : d c = b a ⋅ c d = b ⋅ c a ⋅ d Aquí a , b , c \textcolor{ff6600}{a}, \textcolor{660099}{b}, \textcolor{009999}{c} a , b , c d \textcolor{cc0000}{d} d número entero .
