WAEC 2016 Mathematics · Question 14

Simplify: ( $\frac{3}{4} - \frac{2}{3}$ ) x 1 $\frac{1}{5}$

Options

A. $\frac{1}{60}$
B. $\frac{5}{72}$
C. $\frac{1}{10}$
D.1 $\frac{7}{10}$

Answer: C. $\frac{1}{10}$

Explanation written with AI and checked against the answer key

Step 1: Analyze the question We must subtract the fractions in the bracket first, then multiply by the mixed number 1 1/5. Step 2: Concept Follow BODMAS: brackets first. To subtract fractions, use a common denominator. Convert mixed numbers to improper fractions before multiplying. Step 3: Solution Bracket: 3/4 − 2/3 = (9 − 8)/12 = 1/12 Mixed number: 1 1/5 = 6/5 Multiply: 1/12 × 6/5 = 6/60 = 1/10 Step 4: Answer The result is 1/10, which matches option C. Tip: Always do the bracket first, and cancel before multiplying to keep numbers small: 1/12 × 6/5 = 1/2 × 1/5 = 1/10. Be careful not to forget to convert 1 1/5 to 6/5; using 1/5 alone would give 1/60 (option A), which is a trap.

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Simplify: (34−23\frac{3}{4} - \frac{2}{3}43​−32​) x 115\frac{1}{5}51​

Options

Answer: C. 110\frac{1}{10}101​

Simplify: ( $\frac{3}{4} - \frac{2}{3}$ ) x 1 $\frac{1}{5}$

Answer: C. $\frac{1}{10}$