MATHEMATICS

JAMB 2010 - Question 3

Mathematics 2010 JAMB Past Questions - Question 3: Simplify (3/4 of 4/9 / 9 1/2) /1 5/19

Simplify (3/4 of 4/9 / 9 1/2) /1 5/19
A:
B:
C:
D:
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Correct Answer

D

Explanation

To simplify the expression (3/4 of 4/9 / 9 1/2) / 1 5/19, we can follow the order of operations, which is parentheses, multiplication and division (from left to right), and addition and subtraction (from left to right).Let's break down the expression step by step:First, let's simplify the expression inside the parentheses:3/4 of 4/9 = (3/4) * (4/9) = 12/36 = 1/3Now, let's simplify the expression 9 1/2:9 1/2 = 9 + 1/2 = 18/2 + 1/2 = 19/2Next, let's divide 1/3 by 19/2:(1/3) / (19/2) = (1/3) * (2/19) = 2/57Finally, let's divide 2/57 by 1 5/19:(2/57) / (1 5/19) = (2/57) / (24/19) = (2/57) * (19/24) = 38/1368 = 19/684Therefore, the simplified form of the expression (3/4 of 4/9 / 9 1/2) / 1 5/19 is 19/684.