$\Large \dfrac{\frac 18}{\frac 1{256}} = \, ?$

The answer is 32.

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$\Huge \frac { \frac { 1 }{ 8 } }{ \frac { 1 }{ 256 } } =?\\ \Huge =\quad \frac { 1 }{ 8 } \div \frac { 1 }{ 256 } \\ \Huge =\quad \frac { 1 }{ 8 } \times \frac { 256 }{ 1 } \\ \Huge =\quad \frac { 256 }{ 8 } \\ \Huge =\quad \boxed { 32 }$

Angela Fajardo
- 5 years, 2 months ago

i also simply solve the ques wid division method

akanksha arya
- 5 years, 2 months ago

LOL, If you had posted your second comment as a solution, then your solution would surely have made it to top solutions XD. 22 upvotes!

Ashish Menon
- 5 years, 1 month ago

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What I did was d simply divide 1/256 by 1/8: 1/8 ➗ 1/256 = 1/8 ✖256/1= 32

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Sometimes the simple ways are best :)

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Sir this is the simpliest way:

$\displaystyle{\begin{aligned} \dfrac{\dfrac{1}{8}}{\dfrac{1}{256}} &= \dfrac{256\cdot 1}{\dfrac{8}{1}} \\&= \dfrac{256}{8} \\& = 32 \space\space\space\space\space\space\space\space \square \end{aligned}}$

A Former Brilliant Member
- 5 years, 2 months ago

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That's exactly what I did. It was so simple, it took me less than two minutes

Cress Darnel
- 5 years, 2 months ago

Just put 0.125/3.90625x10^-3

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$\Huge \frac { \frac { 1 }{ 8 } }{ \frac { 1 }{ 256 } } =?\\ \Huge =\quad \frac { \left( \frac { 1 }{ 2 } \right) ^{ 3 } }{ \left( \frac { 1 }{ 2 } \right) ^{ 8 } } \\ \Huge =\quad \left( \frac { 1 }{ 2 } \right) ^{ 3-8 }\\ \Huge =\quad \left( \frac { 1 }{ 2 } \right) ^{ -5 }\\ \Huge =\quad { 2 }^{ 5 }\\ \Huge =\quad \boxed { 32 }$