Question

Calcula y simplifica:
a) 1/4 + 2/3• ( 1 +1/2 )
b) 1/4 ÷ ( 3/2 • 2/5 )
c) 2/5 + 2/3 ( 3 - 1/2 )​

Answer 1

Respuesta:

a) 5/4

b) 5/12

c) 31/15

Explicación paso a paso:

$a) \: \frac{1}{4} + \frac{2}{3}(1 + \frac{1}{2}) \\ \frac{1}{4} + \frac{2}{3} ( \frac{3}{2}) \\ \frac{1}{4} + \frac{6}{6} \\ \frac{1}{4} + 1 = \frac{5}{4}$

$b) \: \frac{1}{4} \div ( \frac{3}{2} \times \frac{2}{5} ) \\ \frac{1}{4} \div \frac{6}{10} \\ \frac{10}{24} = \frac{5}{12}$

$c) \: \frac{2}{5} + \frac{2}{3}(3 - \frac{1}{2} ) \\ \frac{2}{5} + \frac{2}{3}( \frac{5}{2}) \\ \frac{2}{5} + \frac{10}{6} \\ \frac{12}{30} + \frac{50}{30} = \frac{62}{30} = \frac{31}{15}$