SOLUTION: What is the largest integer x for which 1/x is larger than 4/49?

Question 1132165: What is the largest integer x for which 1/x is larger than 4/49?
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

or

=>the largest integer x for which is larger than is
Answer by greenestamps(13208) (Show Source): You can put this solution on YOUR website!

For some problems involving comparing fractions, a useful technique is to make the NUMERATORS the same; then the larger denominator is the smaller fraction and the smaller denominator is the larger fraction.

That technique works well with this problem.

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Since we want 1/x (i.e., 4/4x) to be LARGER than 4/49, we need to have 4x LESS than 49:

The largest integer satisfying that inequality is x=12.
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