Evaluate 1 - (1/5 x 2/3) + ( 5 + 2/3)

Correct Answer is : 981598/151598

Correct Answer is : 981598/151598

Test Index

JAMB Mathematics 2017 Paper

Question : 9

Total: 44

Evaluate 1 - (

\frac{1}{5}

\frac{2}{3}

\frac{2}{3}

)

Solution:

Concept:

Use the order of operations: evaluate brackets first, then add/subtract.

Explanation:

Compute the first bracket:

\frac{1}{5} \times \frac{2}{3} = \frac{2}{15}

Compute the second bracket:

5 + \frac{2}{3} = \frac{15}{3} + \frac{2}{3} = \frac{17}{3}

Substitute into the expression:

1 - \frac{2}{15} + \frac{17}{3}

Convert to fifteenths:

1 = \frac{15}{15}

and

\frac{17}{3} = \frac{85}{15}

So:

\frac{15}{15} - \frac{2}{15} + \frac{85}{15} = \frac{98}{15}

Answer:

\frac{98}{15}

, which is option D.

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