Question

a) x - 1/24 = -1/8 + 5/6

b) 5/8 - x = 1/9 - (-5/4)

5/9 + x/-1 = -1/3

Answer 1

a: \(x-\dfrac{1}{24}=-\dfrac{1}{8}+\dfrac{5}{6}\)

=>\(x-\dfrac{1}{24}=\dfrac{-3}{24}+\dfrac{20}{24}=\dfrac{17}{24}\)

=>\(x=\dfrac{17}{24}+\dfrac{1}{24}=\dfrac{18}{24}=\dfrac{3}{4}\)

b: \(\dfrac{5}{8}-x=\dfrac{1}{9}-\left(-\dfrac{5}{4}\right)\)

=>\(\dfrac{5}{8}-x=\dfrac{1}{9}+\dfrac{5}{4}=\dfrac{4+45}{36}=\dfrac{49}{36}\)

=>\(x=\dfrac{5}{8}-\dfrac{49}{36}=\dfrac{45}{72}-\dfrac{98}{72}=\dfrac{-53}{72}\)

c: \(\dfrac{5}{9}+\dfrac{x}{-1}=-\dfrac{1}{3}\)

=>\(\dfrac{5}{9}-x=-\dfrac{1}{3}\)

=>\(x=\dfrac{5}{9}+\dfrac{1}{3}=\dfrac{8}{9}\)