Question

a) x-(-1)/3 = 2 1/4    

b) 1/3 + 2/3 : x= (-4)/5          c)x : (-2)/5 - 3/7= (-1)/3

Answer 1

a: \(x-\dfrac{\left(-1\right)}{3}=2\dfrac{1}{4}\)

=>\(x+\dfrac{1}{3}=\dfrac{9}{4}\)

=>\(x=\dfrac{9}{4}-\dfrac{1}{3}=\dfrac{27-4}{12}=\dfrac{23}{12}\)

b: \(\dfrac{1}{3}+\dfrac{2}{3}:x=\dfrac{-4}{5}\)

=>\(\dfrac{2}{3}:x=-\dfrac{4}{5}-\dfrac{1}{3}=\dfrac{-12-5}{15}=-\dfrac{17}{15}\)

=>\(x=-\dfrac{2}{3}:\dfrac{17}{15}=-\dfrac{2}{3}\cdot\dfrac{15}{17}=-\dfrac{10}{17}\)

c: \(x:\dfrac{-2}{5}-\dfrac{3}{7}=\dfrac{-1}{3}\)

=>\(x:\dfrac{-2}{5}=\dfrac{3}{7}-\dfrac{1}{3}=\dfrac{2}{21}\)

=>\(x=\dfrac{2}{21}\cdot\dfrac{-2}{5}=-\dfrac{4}{105}\)