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Question

Mathematics Question on Multiplication Of Fractions

Multiply and express as a mixed fraction :
(a) 3 × 5 15\frac{1}{5}
(b) 5 × 6 34\frac{3}{4}
(c) 7 × 2 14\frac{1}{4}
(d) 4 × 6 13\frac{1}{3}
(e) 3 14\frac{1}{4} × 6
(f) 3 25\frac{2}{5} × 8

Answer

(a) 3 × 5 15\frac{1}{5}= 3 × 265\frac{26}{5}= 785\frac{78}{5} = 15 35\frac{3}{5}


(b) 5 × 6 34\frac{3}{4} = 5 × 274\frac{27}{4} = 1354\frac{135}{4}= 33 34\frac{3}{4}


(c) 7 × 214\frac{1}{4}= 7 × 94\frac{9}{4}= 634\frac{63}{4} = 1534\frac{3}{4}


(d) 4 × 6 13\frac{1}{3}= 4 × 193\frac{19}{3} = 763\frac{76}{3} = 25 13\frac{1}{3}


(e) 3 14\frac{1}{4} × 6 = 134\frac{13}{4} × 6 = 784\frac{78}{4} = 392\frac{39}{2} = 1912\frac{1}{2}


(f) 3 25\frac{2}{5} × 8 = 175\frac{17}{5} × 8 = 1365\frac{136}{5} = 27 15\frac{1}{5}