3/4 ÷ 21/4 of 2/3 - [(1/2 - 1/3) / (1/2 + 1/3) x

Home » Aptitude » Simplification » Question

3/4 ÷ 2¹/₄ of 2/3 - [(1/2 - 1/3) / (1/2 + 1/3) x 3¹/₃ + 5/6 = ?

1. 7/18
2. 49/54
3. 2/3
4. 1/6

Correct Option: C

Given expression = 3/4 ÷ 9/4 of 2/3 - [(1/6) / (5/6)] x 10/3 + 5/6
= 3/4 x 2/3 - 1/6 x 6/5 x 10/3 + 5/6
= 1/2 - 2/3 + 5/6
= (3 - 4 + 5) / 6
= 4 / 6
= 2 /3