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Question

The mixed fraction $$ 5 \dfrac{4}{7} $$ can be expressed as

A
$$ \dfrac{33}{7} $$
B
$$ \dfrac{39}{7} $$
C
$$ \dfrac{39}{4} $$
D
$$ \dfrac{33}{4} $$
Solution
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Correct option is B. $$ \dfrac{39}{7} $$
An improper fraction is obtained by adding the whole part with a fractional part of a mixed fraction.

$$ 5\dfrac{4}{7}$$ can be expressed into improper fraction as ,

$$ = \dfrac{ 5×7+4}{7}$$

$$ = \dfrac{35+4}{7} $$

$$ = \dfrac{39}{7}$$

$$\therefore \textbf{Option B is correct.}$$

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