Simplify : (i) \(2\frac{2}{3} - (2\frac{1}{2} - 1\frac{4}{5})\) (ii) \(\frac{3.25 - 1.64}{2.47 - 2.01}\)

Assessment: WAEC SSCE - General Mathematics - 1991 (Objective) Subject: General Mathematics

Question 1 Report

Simplify :

(i) \(2\frac{2}{3} - (2\frac{1}{2} - 1\frac{4}{5})\)

(ii) \(\frac{3.25 - 1.64}{2.47 - 2.01}\)

Answer

Answer Details

(i) Work the bracket first:

\[2\tfrac12-1\tfrac45=\frac52-\frac95=\frac{25-18}{10}=\frac{7}{10}.\]

Then

\[2\tfrac23-\frac{7}{10}=\frac83-\frac{7}{10}=\frac{80-21}{30}=\frac{59}{30}=1\tfrac{29}{30}.\]

(ii)

\[\frac{3.25-1.64}{2.47-2.01}=\frac{1.61}{0.46}=3.5.\]

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