Question

Which fractional comparison below is NOT true? A. 2/3 = 6/9 B. 4/5 > 8/16 C. 2/5 < 5/10 D. 1/2 > 3/4

Answer 1

We can evaluate expression one by one,

1

`\begin{gathered} (2)/(3)=(6)/(9) \\ (6)/(9)\rightarrow(3*2)/(3*3)=(2)/(3) \end{gathered}`

This is true.

2.

`\begin{gathered} (4)/(5)>(8)/(16) \\ (8)/(16)=(1)/(2)=0.5 \\ (4)/(5)=0.8 \\ \text{0}.8>0.5 \end{gathered}`

This is true.

3.

`\begin{gathered} (2)/(5)<(5)/(10) \\ (5)/(10)=(5)/(5*2)=(1)/(2)=0.5 \\ (2)/(5)=0.4 \\ \text{0}.4<0.5 \end{gathered}`

This is true.

4.

`\begin{gathered} (1)/(2)>(3)/(4) \\ (1)/(2)=0.5 \\ (3)/(4)=0.75 \\ \end{gathered}`

This is not true.

Thus, the correct option is D