A quarter is ____ of a half.

$\frac{1}{2}$

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$\frac{1}{3}$

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$\frac{1}{4}$

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$\frac{1}{6}$

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Solution

The correct option is A
$\frac{1}{2}$

One half of half = $\frac{1}{2} \times \frac{1}{2}$
$= \frac{1}{4} = Q u a r t e r$

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Distance(km)	$1 - 11$	$11 - 21$	$21 - 31$	$31 - 41$	$41 - 51$
Number of persons	$4$	$6$	$10$	$12$	$18$

On simplification of $2 \frac{1}{2} + 3 \frac{1}{6} - 4 \frac{1}{3}$ , we get

1 \frac{1}{3} + 2 \frac{1}{4} + 3 \frac{1}{6} + 4 \frac{1}{12} + . . . + 19 \frac{2}{3}

1 + \frac{1}{2} (1 + 2) + \frac{1}{3} (1 + 2 + 3) + \frac{1}{4} (1 + 2 + 3 + 4) + . . . . .

20

(1 + \frac{1}{2}) (1 + \frac{1}{3}) (1 + \frac{1}{4}) (1 + \frac{1}{5}) (1 + \frac{1}{6}) (1 + \frac{1}{7}) (1 + \frac{1}{8})

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