Arrange the following in descending order: \; 7/20, \; 7/25, \; 37/100, \; 1/4

Correct Answer is : 37100, 720, 725, 14\; 37/100, \; 7/20, \; 7/25, \; 1/410037,207,257,41

\; 37/100, \; 7/20, \; 7/25, \; 1/4

\; 1/4, \; 7/25, \; 7/20, \; 37/100

\; 37/100, \; 7/20, \; 1/4, \; 7/25

\; 7/25, \; 1/4, \; 7/20, \; 37/100

Correct Answer is : 37100, 720, 725, 14\; 37/100, \; 7/20, \; 7/25, \; 1/410037,207,257,41

Test Index

BECE Mathematics 2017 Paper

Question : 24

Total: 40

\; \frac{7}{20}, \; \frac{7}{25}, \; \frac{37}{100}, \; \frac{1}{4}

Solution:

Concept:

Convert all fractions to equivalent fractions with the same denominator, then compare their numerators.

Explanation:

The denominators are

20

25

100

, and

4

The LCM of these denominators is

100

Convert each fraction to an equivalent fraction with denominator

100

\frac{7}{20} = \frac{7 \times 5}{20 \times 5} = \frac{35}{100}

\frac{7}{25} = \frac{7 \times 4}{25 \times 4} = \frac{28}{100}

\frac{37}{100}

remains

\frac{37}{100}

\frac{1}{4} = \frac{1 \times 25}{4 \times 25} = \frac{25}{100}

Now arrange by numerators in descending order:

37 > 35 > 28 > 25

So the order is

\frac{37}{100}, \frac{7}{20}, \frac{7}{25}, \frac{1}{4}

Answer:

Option A:

\frac{37}{100}, \frac{7}{20}, \frac{7}{25}, \frac{1}{4}

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