Question

resolva a expressão com frações:
5/4 - ( 1/6 - 3/4)

Answer 1

Explicação passo-a-passo:

$\sf \dfrac{5}{4}-\Big(\dfrac{1}{6}-\dfrac{3}{4}\Big)$

$\sf =\dfrac{5}{4}-\Big(\dfrac{2-9}{12}\Big)$

$\sf =\dfrac{5}{4}-\Big(-\dfrac{7}{12}\Big)$

$\sf =\dfrac{5}{4}+\dfrac{7}{12}$

$\sf =\dfrac{15+7}{12}$

$\sf =\dfrac{22}{12}$

$\sf =\red{\dfrac{11}{6}}$

Answer 2

$\sf \frac{5}{4} - ( \frac{1}{6} - \frac{3}{4} ) \\ \\\sf \frac{5}{4} - ( \frac{2}{12} - \frac{9}{12} ) \\ \\\sf \frac{5}{4} - \frac{2 - 9}{12} \\ \\\sf \frac{5}{4} + \frac{7}{12} \\ \\\sf \frac{15}{12} + \frac{7}{12} \\ \\\sf \frac{15 + 7}{12} \\ \\\sf \frac{22}{12} \\ \\\sf \boxed { \frac{11}{6} }$