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Algebra Difficulty 1.1 Junior Find the answer Canada

Which of these fractions is larger than $\frac{1}{2}$ ?

Pick one

Solution

A positive fraction is larger than $\frac12$ if its denominator is less than two times its numerator.

Of the answers given, $\frac47$ is the only fraction in which the denominator, 7, is less than 2 times its numerator, 4 (since $2 \times 4 = 8$ ).

Therefore, $\frac47$ is larger than $\frac12$ .

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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.