Evaluate \; 4/5 - \; 1/3 + \; 2/9

Correct Answer is : 3145\; 31/454531

Correct Answer is : 3145\; 31/454531

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BECE Mathematics 2016 Paper

Question : 8

Total: 40

Evaluate

\; \frac{4}{5} - \; \frac{1}{3} + \; \frac{2}{9}

Solution:

Concept:

To add or subtract unlike fractions, first convert them to equivalent fractions with a common denominator.

Explanation:

Find the L.C.M. of the denominators

5

3

and

9

L.C.M. of

5

3

and

9

45

Convert each fraction to an equivalent fraction with denominator

45

\frac{4}{5} = \frac{4 \times 9}{5 \times 9} = \frac{36}{45}

\frac{1}{3} = \frac{1 \times 15}{3 \times 15} = \frac{15}{45}

\frac{2}{9} = \frac{2 \times 5}{9 \times 5} = \frac{10}{45}

Now evaluate:

\frac{4}{5} - \frac{1}{3} + \frac{2}{9} = \frac{36}{45} - \frac{15}{45} + \frac{10}{45}

= \frac{36 - 15 + 10}{45} = \frac{31}{45}

Answer:

\frac{31}{45}

, which is option C.

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