Approximation

Algebra Level 2

Of the following integers, which is closest to 65 1 31 × 30 12 13 65 \frac{1}{31} \times 30\frac{12}{13} ?

2014 2012 2013 2011 2015

Chan Lye Lee by Chan Lye Lee , 44, Singapore

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1 solution

Chan Lye Lee
Oct 6, 2015

65 1 31 × 30 12 13 = ( 65 + 1 31 ) × ( 31 − 1 13 ) = 2015 − 5 + 1 − 1 31 × 13 ≈ 2011 65\frac{1}{31}\times 30\frac{12}{13}=\left(65+\frac{1}{31}\right)\times \left(31-\frac{1}{13}\right) = 2015 -5+1-\frac{1}{31\times 13}\approx 2011

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