10 Ejercicios resueltos: Suma y resta de fracciones utilizando el método de la mariposa – Nivel fácil

Desarrollo:

$$ \frac{1}{2} + \frac{7}{3} = \frac{1 \cdot 3 + 2 \cdot 7}{2 \cdot 3} = \frac{3+14}{6} = \frac{17}{6} $$

Respuesta:

$$ \boxed{\frac{17}{6}} $$

Desarrollo:

$$ \frac{4}{5} – \frac{2}{6} = \frac{4 \cdot 6 – 5 \cdot 2}{5 \cdot 6} = \frac{24-10}{30} = \frac{14}{30} $$

Simplificando

$$ \frac{14 \div 2}{30 \div 2} = \frac{7}{15} $$

Respuesta:

$$ \boxed{\frac{7}{15}} $$

Desarrollo:

$$ \frac{3}{4} – \frac{8}{12} = \frac{3 \cdot 12 – 4 \cdot 8}{4 \cdot 12} = \frac{36-32}{48} = \frac{4}{48} $$

Simplificando

$$ \frac{4 \div 4}{48 \div 4} = \frac{1}{12} $$

Respuesta:

$$ \boxed{\frac{1}{12}} $$

Desarrollo:

$$ \frac{5}{9} + \frac{11}{3} = \frac{5 \cdot 3 + 9 \cdot 11}{9 \cdot 3} = \frac{15+99}{27} = \frac{114}{27} $$

Simplificando

$$ \frac{114 \div 3}{27 \div 3} = \frac{38}{9} $$

Respuesta:

$$ \boxed{\frac{38}{9}} $$

Desarrollo:

$$ \frac{9}{16} + \frac{10}{6} = \frac{9 \cdot 6 + 16 \cdot 10}{16 \cdot 6} = \frac{54+160}{96} = \frac{194}{96} $$

Simplificando

$$ \frac{194 \div 2}{96 \div 2} = \frac{97}{48} $$

Respuesta:

$$ \boxed{\frac{97}{48}} $$

Desarrollo:

$$ \frac{12}{5} – \frac{8}{15} = \frac{12 \cdot 15 – 5 \cdot 8}{5 \cdot 15} = \frac{180-40}{75} = \frac{140}{75} $$

Simplificando

$$ \frac{140 \div 5}{75 \div 5} = \frac{28}{15} $$

Respuesta:

$$ \boxed{\frac{28}{15}} $$

Desarrollo:

$$ \frac{1}{7} – \frac{2}{21} = \frac{1 \cdot 21 – 7 \cdot 2}{7 \cdot 21} = \frac{21-14}{147} = \frac{7}{147} $$

Simplificando

$$ \frac{7 \div 7}{147 \div 7} = \frac{1}{7} $$

Respuesta:

$$ \boxed{\frac{1}{7}} $$

Desarrollo:

$$ \frac{18}{3} + \frac{21}{9} = \frac{18 \cdot 9 + 3 \cdot 21}{3 \cdot 9} = \frac{162+63}{27} = \frac{225}{27} $$

Simplificando

$$ \frac{225 \div 9}{27 \div 9} = \frac{25}{3} $$

Respuesta:

$$ \boxed{\frac{25}{3}} $$

Desarrollo:

$$ \frac{9}{12} + \frac{3}{18} = \frac{9 \cdot 18 + 12 \cdot 3}{12 \cdot 18} = \frac{252}{216} = \frac{252}{216} $$

Simplificando

$$ \frac{252 \div 36}{216 \div 36} = \frac{7}{6} $$

Respuesta:

$$ \boxed{\frac{7}{6}} $$

Desarrollo:

$$ \frac{10}{15} – \frac{3}{20} = \frac{10 \cdot 20 – 15 \cdot 3}{15 \cdot 20} = \frac{200-45}{300} = \frac{155}{300} $$

Simplificando

$$ \frac{155 \div 5}{300 \div 5} = \frac{31}{60} $$

Respuesta:

$$ \boxed{\frac{31}{60}} $$