Simplify \;1/3+\;1/9+\;1/27

Correct Answer is : 1327\;13/272713

Correct Answer is : 1327\;13/272713

Test Index

BECE Mathematics 2012 Paper

Question : 13

Total: 40

Simplify

\;\frac{1}{3}+\;\frac{1}{9}+\;\frac{1}{27}

Solution:

Concept:

Add fractions by converting each to a common denominator.

Explanation:

The least common denominator of

3

9

and

27

27

Rewrite each fraction with denominator

27

\frac{1}{3} = \frac{9}{27}

\frac{1}{9} = \frac{3}{27}

\frac{1}{27} = \frac{1}{27}

Now add:

\frac{9}{27} + \frac{3}{27} + \frac{1}{27} = \frac{9+3+1}{27} = \frac{13}{27}

Answer:

\frac{13}{27}

, which is option D.

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