Question

Express the following mixed fractions as improper fractions :

$(a) \: 2 \frac{3}{4} \\ \\ (b) \: 7 \frac{1}{9} \\ \\ (c) \: 5\frac{3}{7}$
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Answer 1

Answer:

$Answer$

11/4

64/9

38/7

Step-by-step explanation:

Answer 2

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( a )$2 \frac{3}{4} = 2 + \frac{3}{4} = \frac{2 \times4 }{4} + \frac{3}{4} = \frac{11}{4}.$

( b )$7 \frac{1}{9} = \frac{(7 \times 9) + 1}{9} = \frac{64}{9}$

( c )$5 \frac{3}{7} = \frac{(5 \times 7) + 3}{7} = \frac{38}{7}$

Thus , we can express a mixed fraction as an improper fraction as

$\frac{(whole \times denominator + numerator}{denominator} .$