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

Answer:

Alisa drink $\frac{1}{4}$ of the juice in the bottle.

Step-by-step explanation:

Alisa has $1\frac{1}{2}$ liter of juice in a bottle.

She drank $\frac{3}{8}$ liters of juice.

To find the fraction of the juice did she drink, we need to divide $\frac{3}{8}$ by the amount of juice in the bottle  $1\frac{1}{2}$ .

Let's convert the mixed number to improper fraction.

$1\frac{1}{2}$ = $\frac{(2*1 +1)}{2} = \frac{(2 +1)}{2} = \frac{3}{2}$

Now we have to divide.

= $\frac{\frac{3}{8} }{\frac{3}{2} }$

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

So,

$\frac{3}{8} *\frac{2}{3}$

Multiply the numerators and the denominators, we get

= $\frac{6}{24}$

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

= $\frac{1}{4}$

Therefore, Alisa drink $\frac{1}{4}$ of the juice in the bottle.

Answer 2

Answer:

1/4

Step-by-step 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.