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Question

Mathematics Question on Operations On Rational Numbers

Find the product:
(i)92\frac{9}{2}×(-74\frac{7}{4})
(ii) 310\frac{3}{10}×(-9)
(iii) -65\frac{6}{5}×911\frac{9}{11}
(iv) 37\frac{3}{7}×(-25\frac{2}{5})
(v) 311\frac{3}{11}×25\frac{2}{5}
(vi) 35\frac{3}{-5} ×53\frac{-5}{3}

Answer

(i) 92\frac{9}{2}×(-74\frac{7}{4})
= 9×(7)2×4\frac{9×(-7)}{2×4} = -638\frac{63}{8}


(ii) 310\frac{3}{10}×(-9)
= (310)×91(\frac{3}{10}) ×\frac{-9}{1} = 3×(9)10×1\frac{3×(-9)}{10×1}= 2710\frac{-27}{10}


(iii) -65\frac{6}{5}×911\frac{9}{11}
= 6×95×11\frac{-6×9}{5×11} = -5455\frac{54}{55}


(iv)37\frac{3}{7}×(-25\frac{2}{5})
= 3×(2)7×5\frac{3×(-2)}{7×5} = 635-\frac{6}{35}


(v) 311\frac{3}{11}×25\frac{2}{5}
= 3×211×5\frac{3×2}{11×5}= 655\frac{6}{55}


(vi) 35\frac{3}{-5} ×53\frac{-5}{3}
= 3×(5)(5)×3\frac{3×(-5)}{(-5)×3} = 1515\frac{-15}{-15}= 1