Question

realice las siguientes operaciones es para hoy por favor
a(3+1/4)-(2+1/6)
b1/2:(1/4+1/3)
c(5/3-1)X(7/2-2)
d(3/4+1/2):(5/3+1/6)

Answer 1

Respuesta:

$a. \: (3 + \frac{1}{4} ) - (2 + \frac{1}{6} )$

$\: \: \: \: (\frac{3}{1} + \frac{1}{4} ) - ( \frac{2}{1} + \frac{1}{6} )$

$\: \: \: \: ( \frac{12 + 1}{4}) - ( \frac{12 + 1}{6} )$

$\: \: \: \: \frac{13}{4} - \frac{13}{6} = \frac{78 - 52}{24} = \frac{26}{24} = \frac{13}{12}$

$b. \: \frac{1}{2} \div ( \frac{1}{4} + \frac{1}{3} )$

$\: \: \: \: \frac{1}{2} \div ( \frac{3 + 4}{12})$

$\: \: \: \: \frac{1}{2} \div \frac{7}{12} = \frac{1}{2} \times \frac{12}{7}$

$\: \: \: \: \frac{1 \times 12}{2 \times 7} = \frac{12}{14} = \frac{6}{7}$

$c. \: ( \frac{5}{3} - 1) \times ( \frac{7}{2} - 2)$

$\: \: \: \: ( \frac{5}{3} - \frac{1}{1} ) \times ( \frac{7}{2} - \frac{2}{1} )$

$\: \: \: \: ( \frac{5 - 3}{3} ) \times ( \frac{7 - 4}{2} )$

$\: \: \: \: \frac{2}{3} \times \frac{3}{2} = \frac{2 \times 3}{3 \times 2} = \frac{6}{6} = 1$

$d. \: ( \frac{3}{4} + \frac{1}{2} ) \div ( \frac{5}{3} + \frac{1}{6} )$

$\: \: \: \: ( \frac{3 + 2}{4} ) \div ( \frac{10 + 1}{6} )$

$\: \: \: \: \frac{5}{4} \div \frac{11}{6} = \frac{5}{4} \times \frac{6}{11}$

$\: \: \: \: \frac{5 \times 6}{4 \times 11} = \frac{30}{44} = \frac{15}{22}$