Sums in a fraction

Algebra Level 1

Evaluate

11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 . \frac{ 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 } { 1+2+3+4+5+6+7+8+9 }.


The answer is 3.

Arron Kau by Arron Kau

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2 solutions

Arron Kau Staff
May 13, 2014

The numerator is equal to 9 × 15 9 \times 15 and the denominator is equal to 9 × 5 9 \times 5 , hence the expression is equal to

9 × 15 9 × 5 = 15 5 = 3. \frac{ 9 \times 15 } { 9 \times 5 } = \frac{ 15 } { 5} = 3.

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Lucas Nascimento
Oct 7, 2015

I've called it X and subtracted 1 from both sides, so the numerator became 9 times 10 and the denominator became 9 times 5. Then, X minus 1 is 2. Then, X is 3.

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