Question

Explain why 4 x 3/5=12x 1/5

Answer 1

They equal because when you simplify each side, you will arrive at the same answer.

`\begin{gathered} 4*(3)/(5)=(4*3)/(5) \\ =(12)/(5) \end{gathered}`

also;

`\begin{gathered} 12*(1)/(5)=(12*1)/(5) \\ =(12)/(5) \end{gathered}`

Step-by-step explanation:

We want to explain why;

`4*(3)/(5)=12*(1)/(5)`

They equal because when you simplify each side, you will arrive at the same answer.

`\begin{gathered} 4*(3)/(5)=(4*3)/(5) \\ =(12)/(5) \end{gathered}`

also;

`\begin{gathered} 12*(1)/(5)=(12*1)/(5) \\ =(12)/(5) \end{gathered}`

So, they give the same answer when simplified.

Also you can derive one from the other;

`\begin{gathered} 4*(3)/(5)=12*(1)/(5) \\ 4*3*(1)/(5)=12*(1)/(5) \\ 12*(1)/(5)=12*(1)/(5) \\ (12)/(5)=(12)/(5) \end{gathered}`

Therefore, both sides are equal.