Mathematics 2015 JAMB Past Questions - Question 14: Simplify 1 2/3+4 1/4 ÷1 5/12

Correct Answer

B

Explanation

1 2/3+4 1/4 ÷ 1 5/121 2/3 +17/4 ÷ 17/121 2/3 +17/4*12/175/3+3/1=5+9 =14/3 3=4 2/3To simplify the expression 1 2/3 + 4 1/4 ÷ 1 5/12, we can first convert the mixed numbers to improper fractions and then perform the operations.1 2/3 can be written as (3*1 + 2)/3 = 5/34 1/4 can be written as (4*4 + 1)/4 = 17/41 5/12 can be written as (12*1 + 5)/12 = 17/12So the expression becomes: 5/3 + 17/4 ÷ 17/12Now, let's perform the division first:17/4 ÷ 17/12 = 17/4 * 12/17 = 3Now the expression becomes: 5/3 + 3To add these fractions, we need a common denominator. The least common multiple of 3 and 1 is 3. So, we can rewrite 3 as 9/3.Now the expression becomes: 5/3 + 9/3 = 14/3Therefore, the simplified result is 14/3.