التمرين رقم 3

\(88 = 2 \times 2 \times 2 \times 11\)

\(22 = 2 \times 11\)

\[\frac{88}{22} = \frac{2 \times 2 \times 2 \times 11}{2 \times 11} = \frac{\cancel{2} \times 2 \times 2 \times \cancel{11}}{\cancel{2} \times \cancel{11}} = \frac{4}{1} = 4\]

\(96 = 2 \times 2 \times 2 \times 2 \times 2 \times 3\)

\(122 = 2 \times 61\)

\[\frac{96}{122} = \frac{2 \times 2 \times 2 \times 2 \times 2 \times 3}{2 \times 61} = \frac{\cancel{2} \times 2 \times 2 \times 2 \times 2 \times 3}{\cancel{2} \times 61} = \frac{48}{61}\]

\(27 = 3 \times 3 \times 3\)

\(243 = 3 \times 3 \times 3 \times 3 \times 3\)

\[\frac{27}{243} = \frac{3 \times 3 \times 3}{3 \times 3 \times 3 \times 3 \times 3} = \frac{\cancel{3} \times \cancel{3} \times \cancel{3}}{\cancel{3} \times \cancel{3} \times \cancel{3} \times 3 \times 3} = \frac{1}{9}\]

\(68 = 2 \times 2 \times 17\)

\(170 = 2 \times 5 \times 17\)

\[\frac{68}{170} = \frac{2 \times 2 \times 17}{2 \times 5 \times 17} = \frac{\cancel{2} \times 2 \times \cancel{17}}{\cancel{2} \times 5 \times \cancel{17}} = \frac{2}{5}\]

\(28 = 2 \times 2 \times 7\)

\(49 = 7 \times 7\)

\[\frac{28}{49} = \frac{2 \times 2 \times 7}{7 \times 7} = \frac{2 \times 2 \times \cancel{7}}{\cancel{7} \times 7} = \frac{4}{7}\]

\(36 = 2 \times 2 \times 3 \times 3\)

\(72 = 2 \times 2 \times 2 \times 3 \times 3\)

\[\frac{36}{72} = \frac{2 \times 2 \times 3 \times 3}{2 \times 2 \times 2 \times 3 \times 3} = \frac{\cancel{2} \times \cancel{2} \times \cancel{3} \times \cancel{3}}{\cancel{2} \times \cancel{2} \times 2 \times \cancel{3} \times \cancel{3}} = \frac{1}{2}\]

\(48 = 2 \times 2 \times 2 \times 2 \times 3\)

\(84 = 2 \times 2 \times 3 \times 7\)

\[\frac{48}{84} = \frac{2 \times 2 \times 2 \times 2 \times 3}{2 \times 2 \times 3 \times 7} = \frac{\cancel{2} \times \cancel{2} \times 2 \times 2 \times \cancel{3}}{\cancel{2} \times \cancel{2} \times \cancel{3} \times 7} = \frac{4}{7}\]