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Q.3 Express the following as improper fractions:
(a) \(7\frac{3}{4} \)
(b) \(5\frac{6}{7} \)
(c) \(2\frac{5}{6} \)
(d) \(10\frac{3}{5} \)
(e) \(9\frac{3}{7} \)
(f) \(8\frac{4}{9} \)


Answer :

(a) \(\frac{(7 × 4 + 3)}{4} = \frac{31}{4} \)

\(\therefore \) The improper form is \(\frac{31}{4} \)
(b) \(\frac{(5 × 7 + 6)}{7} = \frac{41}{7} \)

\(\therefore \) The improper form is \(\frac{41}{7} \)
(c) \(\frac{(2 × 6 + 5)}{6} = \frac{17}{6} \)

\(\therefore \) The improper form is \(\frac{17}{6} \)
(d) \(\frac{(10 × 5 + 3)}{5} = \frac{53}{5} \)

\(\therefore \) The improper form is \(\frac{53}{5} \)
(e) \(\frac{(9 × 7 + 3)}{7} = \frac{66}{7} \)

\(\therefore \) The improper form is \(\frac{66}{7} \)
(f) \(\frac{(8 × 9 + 4)}{9} = \frac{76}{9} \)

\(\therefore \) The improper form is \(\frac{76}{9} \)

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