MATHEMATICS

JAMB 2004 - Question 3

Mathematics 2004 JAMB Past Questions - Question 3: Evaluate 1/10 x 2/3 +1/4 /1/2 +3/5-1/4

Evaluate 1/10 x 2/3 +1/4 /1/2 +3/5-1/4
A:
B:
C:
D:
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Correct Answer

D

Explanation

To evaluate the expression, let's simplify each fraction and perform the calculations step by step:1/10 x 2/3 = (1 x 2) / (10 x 3) = 2/30 = 1/151/4 / 1/2 = (1/4) x (2/1) = (1 x 2) / (4 x 1) = 2/4 = 1/2Now, let's subtract 1/4 from 3/5:3/5 - 1/4 = (3 x 4 - 1 x 5) / (5 x 4) = (12 - 5) / 20 = 7/20Now, let's add the results together:1/15 + 1/2 + 7/20To add these fractions, we need to find a common denominator. The least common multiple of 15, 2, and 20 is 60.1/15 = (1 x 4) / (15 x 4) = 4/601/2 = (1 x 30) / (2 x 30) = 30/607/20 = (7 x 3) / (20 x 3) = 21/60Now, we can add the fractions:4/60 + 30/60 + 21/60 = (4 + 30 + 21) / 60 = 19/35The final result is 19/35.