الصيغ على الكسور الموجبة

✅ التصحيح

من a−x=b نستنتج x=a−b

\( \dfrac{46}{33}-x=\dfrac{8}{11} x=\dfrac{46}{33}-\dfrac{8}{11}=\dfrac{4}{6} \)

✅ التصحيح

بتطبيق: a−(b+c) = (a−b)−c حيث a−b=4 ∈ ℕ

\( \dfrac{43}{10}-\left(\dfrac{3}{10}+\dfrac{3}{6}\right) =\left(\dfrac{43}{10}-\dfrac{3}{10}\right)-\dfrac{3}{6} = 4-\dfrac{3}{6} = \dfrac{7}{2} \)

✅ التصحيح

من x+a=b نستنتج x=b−a

\( x+\dfrac{1}{10}=\dfrac{2}{5} x=\dfrac{2}{5}-\dfrac{1}{10}=\dfrac{3}{10} \)

✅ التصحيح

بتطبيق: (a+c)−(b+c) = a−b [c يختصر]

\( \left(\dfrac{6}{12}+\dfrac{28}{863}\right)-\left(\dfrac{4}{9}+\dfrac{28}{863}\right) = \dfrac{6}{12}-\dfrac{4}{9} = \dfrac{1}{18} \)

✅ التصحيح

من a−x=b نستنتج x=a−b

\( \dfrac{13}{12}-x=\dfrac{1}{2} x=\dfrac{13}{12}-\dfrac{1}{2}=\dfrac{7}{12} \)

✅ التصحيح

من x+a=b نستنتج x=b−a

\( x+\dfrac{1}{3}=\dfrac{19}{30} x=\dfrac{19}{30}-\dfrac{1}{3}=\dfrac{3}{10} \)

✅ التصحيح

بتطبيق: (a-c)+(b+c) = a+b [c يختصر]

\( \left(\dfrac{2}{3}-\dfrac{23}{898}\right)+\left(\dfrac{1}{2}+\dfrac{23}{898}\right) = \dfrac{2}{3}+\dfrac{1}{2} = \dfrac{7}{6} \)

✅ التصحيح

بتطبيق: (a-c)−(b-c) = a−b [c يختصر]

\( \left(\dfrac{5}{7}-\dfrac{40}{864}\right)-\left(\dfrac{1}{2}-\dfrac{40}{864}\right) = \dfrac{5}{7}-\dfrac{1}{2} = \dfrac{3}{14} \)

✅ التصحيح

بتطبيق: (a+c)−(b+c) = a−b [c يختصر]

\( \left(\dfrac{2}{3}+\dfrac{7}{592}\right)-\left(\dfrac{1}{3}+\dfrac{7}{592}\right) = \dfrac{2}{3}-\dfrac{1}{3} = \dfrac{1}{3} \)

✅ التصحيح

بتطبيق: (a+c)−(b+c) = a−b [c يختصر]

\( \left(\dfrac{6}{8}+\dfrac{9}{664}\right)-\left(\dfrac{6}{12}+\dfrac{9}{664}\right) = \dfrac{6}{8}-\dfrac{6}{12} = \dfrac{1}{4} \)