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BECE Mathematics 2012 Paper

Question : 25

Total: 40

Solution:

Concept:

A decimal like

3.75

can be written as a fraction by using powers of

10

, then simplified to a mixed fraction.

Explanation:

Write

3.75

\frac{3.75}{1}

There are two digits after the decimal point, so multiply numerator and denominator by

100

\frac{3.75}{1} = \frac{3.75 \times 100}{1 \times 100} = \frac{375}{100}

Simplify

\frac{375}{100}

by dividing both numbers by

25

\frac{375 \div 25}{100 \div 25} = \frac{15}{4}

Convert

\frac{15}{4}

to a mixed fraction: since

15 \div 4

gives quotient

3

and remainder

3

\frac{15}{4} = 3\frac{3}{4}

Answer:

3.75 = 3\frac{3}{4}

, which is option D.

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