Question

encuentra el valor de la incógnita y realiza su proceso

a)m+5/12=3/4


b)1/n+4/8=5/6​

Answer 1

Respuesta:

Problema 1:

$m + \frac{5}{12} = \frac{3}{4} \\ \\ m = \frac{3}{4} - \frac{5}{12} \\ \\ m = \frac{(3)(3) - (1)(5)}{12} = \frac{9 - 5}{12} \\ \\ m = \frac{4}{12} = \frac{1}{3}$

Comprobación:

$m + \frac{5}{12} = \frac{3}{4} \\ \\ \frac{1}{3} + \frac{5}{12} = \frac{3}{4} \\ \\ \frac{(4)(1) + (1)(5)}{12} = \frac{3}{4} \\ \\ \frac{4 + 5}{12} = \frac{3}{4} \\ \\ \frac{9}{12} = \frac{3}{4} \\ \\ \frac{3}{4} = \frac{3}{4}$

Problema 2:

$\frac{1}{n} + \frac{4}{8} = \frac{5}{6} \\ \\ \frac{1}{n} = \frac{5}{6} - \frac{4}{8} \\ \\ \frac{1}{n} = \frac{(4)(5) - (3)(4)}{24} \\ \\ \frac{1}{n} = \frac{20 - 12}{24} \\ \\ \frac{1}{n} = \frac{8}{24} \\ \\ \frac{1}{n} = \frac{1}{3} \\ \\ n(8) = 1(24) \\ \\ n = \frac{24}{8} \\ \\ n = 3$

Comprobación:

$\frac{1}{3} + \frac{4}{8} = \frac{5}{6} \\ \\ \frac{(8)(1) + (3)(4)}{24} = \frac{5}{6} \\ \\ \frac{8 + 12}{24} = \frac{5}{6} \\ \\ \frac{20}{24} = \frac{5}{6} \\ \\ \frac{5}{6} = \frac{5}{6}$

Espero sea de ayuda! Saludos!✌

Answer 2

Respuesta:

espero averte ayudado

                         

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