Answer :

Verify each statement

A 2/5 > 1/2

Multiply in cross

2*2 > 5*2

4 > 10 -----> is not true

B 1/2 < 2/11

Multiply in cross

1*11 < 2*2

11 < 4 ---> is not true

C 3/4 < 4/5

3*5 < 4*4

15 < 16 ----> is true

D 7/8 < 3/4

7*4 < 8*3

28 < 24 ---> is not true

therefore

The answer is option C

Explanation

If you have

[tex]\begin{gathered} \frac{a}{b}=\frac{c}{d} \\ that\text{ is the same as} \\ a*d=b*c \end{gathered}[/tex]

example option C

[tex]\frac{3}{4\text{ }}<\frac{4}{5}[/tex]

Multiply both sides by 4

[tex]\begin{gathered} \frac{3}{4}*4<\frac{4}{5}*4 \\ 3<\frac{16}{5} \end{gathered}[/tex]

Now, multiply both sides by 5 (to remove the fraction of the right side)

[tex]\begin{gathered} 3*5<\frac{16}{5}*5 \\ 15<16 \end{gathered}[/tex]

that is the same that multiplies in cross

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