Question

Alisa had 1 & 1/2 liter of juice in a bottle. She drank three eighths liters of juice. What fraction of the juice in the bottle did Alisa drink

Answer 1

1/4

Explanation:

The fraction of the juice Alisa drank was

3/8 liter

--------------------

3/2 liters

and this fraction can be simplified by inverting the divisor (3/2 liters) and multiplying instead:

3 2

------ * ----- = 2/8 or 1/4

8 3

Alisa drank 1/4 of the juice that was originally in the bottle.

Answer 2

Alisa drink
`(1)/(4)` of the juice in the bottle.

Explanation:

Alisa has
`1(1)/(2)` liter of juice in a bottle.

She drank
`(3)/(8)` liters of juice.

To find the fraction of the juice did she drink, we need to divide
`(3)/(8)` by the amount of juice in the bottle
`1(1)/(2)` .

Let's convert the mixed number to improper fraction.

`1(1)/(2)` =
`((2*1 +1))/(2) = ((2 +1))/(2) = (3)/(2)`

Now we have to divide.

=
`((3)/(8) )/((3)/(2) )`

If we have fraction over fraction, we can flip the denominator fraction and multiply with the numerator fraction.

So,

`(3)/(8) *(2)/(3)`

Multiply the numerators and the denominators, we get

=
`(6)/(24)`

Now we have to simplify the fraction by dividing the numerator and denominator by 6, we get

=
`(1)/(4)`

Therefore, Alisa drink
`(1)/(4)` of the juice in the bottle.