Mathematics 2023 JAMB Past Questions - Question 35: simplify 3 1/3- 1 1/4 x 2/3 + 4 2/5

Correct Answer

A

Explanation

To simplify the expression 31/3 − 11/4×2/3+42/5 10/3−5/4×2/3+22/5 Perform multiplication:5  ×    2       =  5 x 2    =     10?    =  54    3    4 x 3    12    6 So, the expression becomes 10/3−5/6+22/5Find a common denominator:The least common denominator (LCD) of 3, 6, and 5 is 30.Rewrite each fraction with the common denominator:10/3 becomes 100/305/6 remains 5/622/5 becomes 132/ 30 So, the expression becomes 100/30 − 5/6 + 132/30Combine the fractions:100/30 − 5/6 + 132/30100/30−5/6+132/30=(100−5+132)/30=227/30.Therefore, the simplified expression is 227/30