Simplify 10\;2/5 - 6 \;2/3 + 3

Correct Answer is : 6 1115\;11/151511

Correct Answer is : 6 1115\;11/151511

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WAEC Mathematics 2014 Paper

Question : 1

Total: 49

Simplify 10

\;\frac{2}{5} - 6 \;\frac{2}{3} + 3

Solution:

Concept:

Convert mixed fractions to improper fractions, then use a common denominator to simplify.

Explanation:

Write

10\frac{2}{5}

\frac{52}{5}

and

6\frac{2}{3}

\frac{20}{3}

The expression becomes

\frac{52}{5} - \frac{20}{3} + 3

Rewrite

3

\frac{3}{1}

and take the LCM of

5

3

, and

1

, which is

15

So,

\frac{52}{5} = \frac{156}{15}

\frac{20}{3} = \frac{100}{15}

, and

3 = \frac{45}{15}

Now combine:

\frac{156}{15} - \frac{100}{15} + \frac{45}{15} = \frac{156 - 100 + 45}{15}

This equals

\frac{101}{15}

Convert

\frac{101}{15}

to a mixed number:

15 \times 6 = 90

, remainder

11

Therefore,

\frac{101}{15} = 6\frac{11}{15}

Answer:

6\frac{11}{15}

(Option B)

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