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

Respuesta :

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.

Answer:

Alisa drink [tex]\frac{1}{4}[/tex] of the juice in the bottle.

Step-by-step explanation:

Alisa has [tex]1\frac{1}{2}[/tex] liter of juice in a bottle.

She drank [tex]\frac{3}{8}[/tex] liters of juice.

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

Let's convert the mixed number to improper fraction.

[tex]1\frac{1}{2}[/tex] = [tex]\frac{(2*1 +1)}{2} = \frac{(2 +1)}{2} = \frac{3}{2}[/tex]

Now we have to divide.

= [tex]\frac{\frac{3}{8} }{\frac{3}{2} }[/tex]

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

So,

[tex]\frac{3}{8} *\frac{2}{3}[/tex]

Multiply the numerators and the denominators, we get

= [tex]\frac{6}{24}[/tex]

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

= [tex]\frac{1}{4}[/tex]

Therefore, Alisa drink [tex]\frac{1}{4}[/tex] of the juice in the bottle.