Simplify 13/4 - ≤ft(21/3 + 4)

Correct Answer is : -4 7127/12127

Correct Answer is : -4 7127/12127

Test Index

WAEC Mathematics 2011 Paper

Question : 27

Total: 47

Simplify 1

\frac{3}{4} - \left(2\frac{1}{3} + 4\right)

Solution:

Concept:

Simplify the fractions using the order of operations, handling the bracket first.

Explanation:

Convert the mixed numbers to improper fractions.

1\frac{3}{4} = \frac{7}{4}

and

2\frac{1}{3} = \frac{7}{3}

Write

4

\frac{4}{1}

First add inside the bracket:

\frac{7}{3} + \frac{4}{1} = \frac{7 + 12}{3} = \frac{19}{3}

Now subtract:

\frac{7}{4} - \frac{19}{3}

Use the LCM

12

\frac{7}{4} = \frac{21}{12}

and

\frac{19}{3} = \frac{76}{12}

So,

\frac{21}{12} - \frac{76}{12} = \frac{-55}{12}

Convert to a mixed number:

\frac{-55}{12} = -4\frac{7}{12}

Answer:

Option C:

-4\frac{7}{12}

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