Question

Realiza las siguientes operaciones y simplifica ( podrian ponermelo paso a paso plis)
a) 3/2+7/12-1/3
b) 3/4:1/2+5/6
c) -2* 3/6-1/3*1/3

Answer 1

Explicación paso a paso:

a)

$\frac{3}{2} + \frac{7}{12} - \frac{1}{3} = \frac{12 \times 3}{12 \times 2} + \frac{2 \times 7}{2 \times 12} - \frac{1}{3} \\ \frac{36}{24} + \frac{14}{24} - \frac{1}{3} = \frac{36 + 14}{24} - \frac{1}{3} = \frac{50}{24} - \frac{1}{3} \\ \frac{3 \times 50}{3 \times 24} - \frac{24 \times 1}{24 \times 3} = \frac{150}{72} - \frac{24}{72} = \frac{150 - 24}{72} = \frac{126}{72} \\ \frac{126 \div 9}{72 \div 9} = \frac{14}{8}$

b)

$\frac{3}{4} \div \frac{1}{2} + \frac{5}{6} = \frac{ \frac{3}{4} }{ \frac{1}{2} } + \frac{5}{6} = \frac{3 \times 2}{4 \times 1} + \frac{5}{6} = \frac{6}{4} + \frac{5}{6} \\ \frac{6 \times 6}{6 \times 4} + \frac{4 \times 5}{4 \times 6} = \frac{36}{24} + \frac{20}{24} = \frac{36 + 20}{24} = \frac{56}{24} \\ \frac{56 \div 4}{24 \div 4} = \frac{14}{6} \div 2 = \frac{7}{3}$

c)

$( - 2 \times \frac{3}{6}) - (\frac{1}{3} \times \frac{1}{3}) = \frac{ - 2 \times 3}{6} - \frac{1 \times 1}{3 \times 3} \\ \frac{ - 6}{6} - \frac{1}{9} = \frac{9 \times ( - 6)}{9 \times 6} - \frac{6 \times 1}{6 \times 9} = \frac{ - 54}{54} - \frac{6}{54} \\ \frac{ - 54 - 6}{54} = \frac{ - 60}{54} \div 6 = - \frac{10}{9}$

*Cuando divido en resultado es para simplificar