SOLUTION: The same number is added to both the deminator and the number of a fraction 7/17,the fraction then becomes 6/11.fine the number added

Question 1189945: The same number is added to both the deminator and the number of a fraction 7/17,the fraction then becomes 6/11.fine the number added
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

(1) Using formal algebra....

ANSWER: 5

(2) Using logical reasoning and simple mental arithmetic....

The difference between the numerator and denominator in the given fraction 7/17 is 10. When the same number is added to both numerator and denominator, that difference stays the same.

So we need to find a fraction equivalent to 6/11 in which the difference between the numerator and denominator is 10.

The difference between the numerator and denominator in the fraction 6/11 is 5; if we double the numerator and denominator, the difference will be 10, as we need. So

ANSWER: 5

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