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Question

Mathematics Question on Division Of Fractions

Find:
(i) 25\frac{2}{5} ÷ 12\frac{1}{2}
(ii) 49\frac{4}{9} ÷ 23\frac{2}{3}
(iii) 37\frac{3}{7} ÷ 87\frac{8}{7}
(iv) 213\frac{1}{3}÷ 35\frac{3}{5}
(v) 3 12\frac{1}{2} ÷ 83\frac{8}{3}
(vi) 25\frac{2}{5} ÷ 1 12\frac{1}{2}
(vii) 3 15\frac{1}{5} ÷ 1 23\frac{2}{3}
(viii) 2 15\frac{1}{5} ÷ 1 15\frac{1}{5}

Answer

(i)25\frac{2}{5}÷ 12\frac{1}{2} = 25\frac{2}{5} × 2 = 45\frac{4}{5}


(ii) 49\frac{4}{9} ÷ 23\frac{2}{3} = 49\frac{4}{9} × 32\frac{3}{2} = 23\frac{2}{3}


(iii) 37\frac{3}{7} ÷ 87\frac{8}{7} = 37\frac{3}{7}× 78\frac{7}{8} =38\frac{3}{8}


(iv) 213\frac{1}{3} ÷ 35\frac{3}{5} = 73\frac{7}{3} ÷ 35\frac{3}{5} = 73\frac{7}{3} ×53\frac{5}{3} = 359\frac{35}{9}


(v) 3 12\frac{1}{2} ÷ 83\frac{8}{3} = 72\frac{7}{2} ÷ 83\frac{8}{3} = 72\frac{7}{2} × 38\frac{3}{8} = 2116\frac{21}{16}


(vi) 25\frac{2}{5} ÷ 112\frac{1}{2}= 25\frac{2}{5} ÷ 32\frac{3}{2} = 25\frac{2}{5} × 23\frac{2}{3} = 415\frac{4}{15}


(vii) 3 15\frac{1}{5} ÷ 1 23\frac{2}{3} = 165\frac{16}{5} ÷ 53\frac{5}{3} = 165\frac{16}{5} × 35\frac{3}{5} = 4825\frac{48}{25}


(viii) 215\frac{1}{5} ÷ 115\frac{1}{5} = 115\frac{11}{5} ÷ 65\frac{6}{5} = 115\frac{11}{5} × 56\frac{5}{6} = 116\frac{11}{6}