Question

Emily has 3 1/2 liters if juice. She poured 1 3/4 liters of juice into glasses. How many liters of juice left to emily?

Answer 1

Answer:

1 3/4

Step-by-step explanation:

Convert the mixed fractions to fractions.  This will make it easier to subtract.

3 1/2  =  7/2

1 3/4  =  7/4

Now make the fractions have a common denominator.  To do this, you need to multiply the denominator by a number that will make it equal to the other number.  For this case, it is 2.  So that the value of the number doesn't change, you need to multiply the numerator by 2 as well.  This means that you are multiplying this equation by 2/2.  This is equal to 1 since the numerator and denominator are the same number.

1 = 2/2

(7/2)(2/2) = 14/4

Now subtract the two fractions.

14/4 - 7/4 = 7/4

Now convert back to a mixed fractions.

7/4  =  1 3/4

Answer 2

Answer:

7/4 liters

Step-by-step explanation:

First, turn both fractions into improper fractions in the a/b form.

3 1/2=7/2

1 3/4=7/4

7/2 can be written  as 14/4

14/4-7/4=7/4

Thus she has 7/4 liters of juice left for herself.