Test Index

BECE Mathematics 2022 Paper

Question : 15

Total: 40

\;\frac{3}{5},\;\frac{1}{4},\;\frac{2}{3}

Solution:

Concept:

To compare fractions, rewrite them with the same denominator using the LCM. Then compare their numerators.

Explanation:

The denominators are

5

4

, and

3

Their LCM is

60

Convert each fraction to an equivalent fraction with denominator

60

\frac{3}{5} = \frac{3 \times 12}{5 \times 12} = \frac{36}{60}

\frac{1}{4} = \frac{1 \times 15}{4 \times 15} = \frac{15}{60}

\frac{2}{3} = \frac{2 \times 20}{3 \times 20} = \frac{40}{60}

Now compare the numerators:

15 < 36 < 40

So, the order from lowest to highest is:

\frac{15}{60}, \frac{36}{60}, \frac{40}{60}

which equals

\frac{1}{4}, \frac{3}{5}, \frac{2}{3}

Answer:

\frac{1}{4}, \frac{3}{5}, \frac{2}{3}

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