Question

Calcular o valor das expressões numéricas, lembrando a ordem das operações:

a)
$\frac{1}{2} \div 6 \frac{5}{12} =$
b)
$\frac{3}{7} \div (1 \frac{5}{14} ) =$
c)
$( \frac{1}{4} + \frac{2}{5} ) \div ( \frac{1}{ 3} + \frac{1}{10} ) =$
d)​

Answer 1

a)

$6 \frac{5}{12} = \frac{6 \times 12 + 5}{12} = \frac{77}{12}$

$\frac{1}{2} \div 6 \frac{5}{12} \\ \frac{1}{2} \div \frac{77}{12} = \frac{1}{2}. \frac{12}{77} = \frac{6}{77}$

b)

$1 \frac{5}{14} = \frac{1.14 + 5}{14} = \frac{19}{14}$

$\frac{3}{7} \div 1\frac{5}{14} \\ \frac{3}{7} \div \frac{19}{14} \\ = \frac{3}{4} . \frac{14}{19} = \frac{21}{38}$

c)

$( \frac{1}{4} + \frac{2}{5} ) \div ( \frac{1}{3} + \frac{1}{10}) \\ ( \frac{5 + 8}{20} ) \div ( \frac{10 + 3}{30} )$

$\frac{13}{20} \div \frac{13}{30} \\ = \frac{13}{20}. \frac{30}{13} = \frac{3}{2}$