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6/10 \div 2/4 \div 9/3 \div 14/7

Solución

\frac{6}{10} \div \frac{2}{4} \div \frac{9}{3} \div \frac{14}{7}

\frac{1}{5}

Pasos de solución

\frac{6}{10} \div \frac{2}{4} \div \frac{9}{3} \div \frac{14}{7}

Aplicar las propiedades de las fracciones:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{6}{10} \times \frac{4}{2} \div \frac{9}{3} \div \frac{14}{7}

Aplicar las propiedades de las fracciones:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{6}{10} \times \frac{4}{2} \times \frac{3}{9} \div \frac{14}{7}

Aplicar las propiedades de las fracciones:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{6}{10} \times \frac{4}{2} \times \frac{3}{9} \times \frac{7}{14}

\frac{6}{10} = \frac{3}{5}

= \frac{3}{5} \times \frac{4}{2} \times \frac{3}{9} \times \frac{7}{14}

Dividir:

\frac{4}{2} = 2

= 2 \times \frac{3}{5} \times \frac{3}{9} \times \frac{7}{14}

\frac{3}{9} = \frac{1}{3}

= 2 \times \frac{3}{5} \times \frac{1}{3} \times \frac{7}{14}

\frac{7}{14} = \frac{1}{2}

= 2 \times \frac{3}{5} \times \frac{1}{3} \times \frac{1}{2}

Convertir a fracción:

2 = \frac{2}{1}

= \frac{3}{5} \times \frac{2}{1} \times \frac{1}{3} \times \frac{1}{2}

Multiplicar fracciones:

\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}

= \frac{3 \times 2 \times 1 \times 1}{5 \times 1 \times 3 \times 2}

Eliminar los terminos comunes:

3

= \frac{2 \times 1 \times 1}{5 \times 1 \times 2}

Eliminar los terminos comunes:

2

= \frac{1 \times 1}{5 \times 1}

Eliminar los terminos comunes:

1

= \frac{1}{5}

(x - 1)^{2} (x + 3)

27 \frac{1}{3}

\frac{6}{10}

(2 a + 1)^{2}

\frac{j}{j - 4} + \frac{4}{4 - j}