Decimals, Fractions, Scientific Notation and Percentages?!

Number Theory Level 2

$\large \left ( \left ( 2.1 + \dfrac{1}{6} \right ) \times \dfrac{15}{17} \times 10^{-6} \right ) \div 6.4\%$

The value of the above expression can be written as $\dfrac {a}{b}$ , where $a$ and $b$ are coprime positive integers. Find $a+b$ .

2 solutions

A Former Brilliant Member
May 9, 2016

$\Rightarrow \left ( \left ( 2.1 + \dfrac{1}{6} \right ) \times \dfrac{15}{17} \times 10^{-6} \right ) \div 6.4\%$

$\frac{\left(\left(\dfrac{68}{30}×\dfrac{15}{17}\right)×\dfrac{1}{1000000}\right)}{\dfrac{64}{1000}}$

$\dfrac{2×\dfrac{1}{1000000}×1000}{64}$

$\dfrac{1}{32000}=\dfrac{a}{b}$

$\therefore a+b=1+32000=\boxed{32001}$

2+1/6 shouldnt be=13/6=65/30?

Mr Yovan - 5 years, 1 month ago

It is the decimal 2.1 not 2×1

A Former Brilliant Member - 5 years, 1 month ago

i didnt get how did you pass from the first to the second line

Mr Yovan - 5 years, 1 month ago

Serkan Muhcu
May 10, 2016

Why did people report this?

There was a mistake in the question before. Now it is fixed.

A Former Brilliant Member - 5 years, 1 month ago