JAMB 2017 Mathematics · Question 1

Evaluate 1 − ( $\frac{1}{5}$ x 1 $\frac{2}{3}$ ) + (5 + 1 $\frac{2}{3}$ )

Options

A.4
B.3
C. $\frac{22}{3}$
D.3 $\frac{2}{3}$

Answer: C. $\frac{22}{3}$

Explanation written with AI and checked against the answer key

Analyze the question: We follow BODMAS: Brackets first, then multiplication/division, then addition/subtraction. Step 1: Convert the mixed number 1⅔ = 5/3 Step 2: First bracket (1/5 × 5/3) = 5/15 = 1/3 Step 3: Second bracket (5 + 1⅔) = 5 + 5/3 = 15/3 + 5/3 = 20/3 Step 4: Put it together 1 − 1/3 + 20/3 = 3/3 − 1/3 + 20/3 = (3 − 1 + 20)/3 = 22/3 Answer: 22/3 = 7⅓, which is option C. Tip: Convert mixed numbers to improper fractions before multiplying, and use a common denominator (here 3) to combine everything at once. Also be careful not to confuse the 1⅔ in the first bracket with the 5 in the second; it's easy to slip when the numbers repeat.

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Evaluate 1 − (15\frac{1}{5}51​ x 123\frac{2}{3}32​) + (5 + 123\frac{2}{3}32​)

Options

Answer: C. 223\frac{22}{3}322​

Evaluate 1 − ( $\frac{1}{5}$ x 1 $\frac{2}{3}$ ) + (5 + 1 $\frac{2}{3}$ )

Answer: C. $\frac{22}{3}$