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Representing Fractions

The improper ...

Question

$The improper fraction 687 lies between the integers a and b on the number line. Find a + b.$

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Solution

7 ) 68 ( 9
-63
----------
5
$Therefore, 687= 957The fraction clearly represents 9 whole and 5 out of 7 parts.Therefore, it lies between 9 and 10 on the number line.So a = 9 and b = 10.Therefore, a + b = 19$

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