Approximation of Rational Number

Prove that $\left \lfloor \frac{2}{1} \times \frac{4}{3} \times \frac{6}{5} \times\cdots\times \frac{98}{97} \times \frac{100}{99} \right \rfloor = 12$

#Algebra

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Here you go

Pi Han Goh - 4 years, 9 months ago

Hi , Long time no see :) can you solve this? i have stuck on

uzumaki nagato tenshou uzumaki - 4 years, 9 months ago

Click "view solution"

Pi Han Goh - 4 years, 9 months ago

@Pi Han Goh – oh thank you so much

uzumaki nagato tenshou uzumaki - 4 years, 9 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$