Question

Sandrs is filling her sandbox with sand. She can fill her sand box at a rate of 1/8gallon/second. Crate at lest three equivalent ratios that are associated with the rate.

Answer 1

`(2)/(16) , (7)/(56) , (10)/(80)` are the ratios which are equivalent to
`(1)/(8)`

Explanation:

The given ratio of the sand is 1 :8 gallon per second.

Two fractions are called equivalent fractions if in their lowest form they are equal to each other.

Now to find the equivalent ration, we need to multiply both numerator and denominator by the same number.

So,
`(1)/(8)  = (1 * 2)/(8 * 2)  = (2)/(16)`

Similarly,
`(1)/(8)  = (1 * 7)/(8 * 7)  = (7)/(56)`

and, So,
`(1)/(8)  = (1 * 10)/(8 * 10)  = (10)/(80)`

Also, each fraction when reduced equals 1/8.

Hence,
`(2)/(16) , (7)/(56) , (10)/(80)` are the ratios which are equivalent to
`(1)/(8)`