MATHEMATICS

JAMB 2011 - Question 3

Mathematics 2011 JAMB Past Questions - Question 3: Simplify 3 ²/₃ × 5/6 × 2/3  /  11/15 × 3/4 × 2/27

Simplify 3 ²/₃ × 5/6 × 2/3  /  11/15 × 3/4 × 2/27
A:
B:
C:
D:
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Correct Answer

D

Explanation

To simplify the expression, let's perform the multiplication and division step by step:First, let's multiply the numerators and denominators together:3²/₃ × 5/6 × 2/3 / 11/15 × 3/4 × 2/27= (3² × 5 × 2) / (3 × 6 × 3) / (11 × 3 × 2) / (15 × 4 × 27)= (9 × 5 × 2) / (3 × 6 × 3) / (11 × 3 × 2) / (15 × 4 × 27)= (90) / (54) / (66) / (1620)Next, let's simplify the fractions:= (5/3) / (1/20)To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:= (5/3) × (20/1)= (5 × 20) / (3 × 1)= 100 / 3Therefore, the simplified expression is 100/3.