Question

Which equation can be represented using the number line?​

Answer 1

A

Explanation:

Answer 2

First Equation:
`(3)/(4) / (1)/(8) =6`

Explanation:

From the given number line we can see that there are 6 arrows/jumps of equal sizes to reach from 0 to
`(3)/(4)`

Each small jump is equivalent to
`(1)/(8)`. This is because from 0 to
`(1)/(4)` there are 2 jumps, so 1 jump will be equal to
`(1)/(4)` divided by 2 which is equal to
`(1)/(8)`

From 0 to
`(3)/(4)`, 6 jumps of
`(1)/(8)` are made. In other words we can say
`(1)/(8)` is added to itself 6 times to reach to
`(3)/(4)`.

Adding
`(1)/(8)` 6 times to itself also means multiplying
`(1)/(8)` by 6. So we can set up the equation as:

`(1)/(8) * 6 = (3)/(4)`

Dividing both sides by
`(1)/(8)` we get:

`6=(3)/(4) / (1)/(8) \\\\ or\\\\ (3)/(4) / (1)/(8) =6`

Hence, the first equation represents the given number line.