Question

What fraction is greater than 3/4

a 1/2

b 2/5

c 5/8

7/8

Answer 1

`(1)/(2)=(1 * 2)/(2 * 2)=(2)/(4) \\ (3)/(4) \\ 2<3 \Rightarrow (2)/(4) < (3)/(4) \Rightarrow (1)/(2)<(3)/(4) \\ not \ greater \\ \\ (2)/(5)=(2 * 4)/(5 * 4)=(8)/(20) \\ (3)/(4)=(3 * 5)/(4 * 5)=(15)/(20) \\ 8<15 \Rightarrow (8)/(20) < (15)/(20) \Rightarrow (2)/(5) < (3)/(4) \\ not \ greater`


`(5)/(8) \\ (3)/(4)=(3 * 2)/(4 * 2)=(6)/(8) \\ 5<6 \Rightarrow (5)/(8) < (6)/(8) \Rightarrow (5)/(8) < (3)/(4) \\ not \ greater \\ \\ (7)/(8) \\ (3)/(4)=(3 * 2)/(4 * 2)=(6)/(8) \\ 7>6 \Rightarrow (7)/(8) > (6)/(8) \Rightarrow (7)/(8) > (3)/(4) \\ greater`

The answer is D. 7/8.