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CEMC Cayley, 2020

Algebra Difficulty 1.1 Junior Find the answer Canada

Which of the following numbers is less than $\frac{1}{20}$ ?

$\frac{1}{15}$
$\frac{1}{25}$
$0.5$
$0.055$
$\frac{1}{10}$

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

If $\text{0 lt;a lt;20}$ , then $\text{1 a gt; 1 20}$ . Therefore, $\text{1 15 gt; 1 20}$ and $\text{1 10 gt; 1 20}$ .

Also, $\dfrac{1}{20} = 0.05$ which is less than both 0.5 and 0.055.

Lastly, $\text{1 20 gt; 1 25}$ since $\text{0 lt; 20 lt; 25}$ .

Therefore, $\dfrac{1}{25}$ is the only one of the choices that is less than $\dfrac{1}{20}$ .

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