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Algebra Difficulty 1.2 Junior Find the answer Canada

The expression $3 + \frac{1}{10} + \frac{4}{100}$ is not equal to

Pick one

Solution

First, we note that $3 + \frac{1}{10}+\frac{4}{100} = 3+\frac{10}{100}+\frac{4}{100}=3+\frac{14}{100}=3\frac{14}{100}$ .

Since $\frac{14}{100}=0.14$ , then the given expression also equals $3.14$ .

Since $\frac{14}{100}=\frac{7}{50}$ , then the given expression also equals $3\frac{7}{50}$ .

We also see that $3\frac{7}{50} = 3 + \frac{7}{50} = \frac{150}{50}+\frac{7}{50}=\frac{157}{50}$ .

Therefore, the only remaining expression is $3\frac{5}{110}$ .

We note further that $3\frac{5}{110} = 3.0\overline{45}$ , which is not equal to 3.14.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.