Question

Perform the indicated operation.

6/5 ÷ 3/5

Answer 1

So first when solving we have to following the keep, change, switch rule to get:

6/5 X 5/3

Then you will multiple the fractions like normal by multiplying both numerators and then multiplying both denominators to get:

30/15

Then finally simply the fraction and you get:

Answer: 2

Answer 2

The answer is:

2

Work/explanation:

Dividing fractions is somewhat unique, because while dividing, you take the fraction that you're dividing by, and flop it, and then multiply. Here's how this works

`\sf{(6)/(5)/(3)/(5)}`

`\sf{(6)/(5)*(5)/(3)}`

Now, we can do one of two things - we can multiply, and simplify then, or we can reverse the steps - simplify first, and multiply.

I choose to simplify and then multiply.

To simplify, I divide by 3 like this

`\sf{(6/3)/(5)*(5)/(3/3)}`

Now I divide by 5 like this

`\sf{(6/3)/(5/5)*(5/5)/(3/3)}`

Simplify

`\sf{(2)/(1)*(1)/(1)}`

`\boxed{\sf{2}}`

Hence, the answer is 2.