Fractions continued?

Algebra Level 3

Both the fractions 239 169 \dfrac{239}{169} and 577 408 \dfrac{577}{408} are approximations of 2 = 1.4142 … \sqrt2 = 1.4142 \ldots .

Which of these 2 fractions is larger?

577 408 \dfrac{577}{408} 239 169 \dfrac{239}{169}

Pi Han Goh by Pi Han Goh , 30, Malaysia

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1 solution

Prince Loomba
Jan 20, 2017

Simply subtract those 2. You will get a negative value, indicating second one is larger.

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