Question

The Nelson family drank 1/4 of a gallon of orange juice on Saturday morning and 2/5 of a gallon of orange juice on Sunday morning. How much orange juice did they drink in all?

Answer 1

Answer: 13/20

Step-by-step explanation: First to find the first part, we need to find a common denominator. So we must ask ourselves, which number is a multiple that both 5 and 4 have in common? The answer then would be 20. So, it would look like this:

`(1)/(4) = (?)/(20)`

`(2)/(5) = (?)/(20)`

So to find what "?" equals for both fractions, we must use this formula:

Amount = Right denominator / Left denominator (1st part)

So, now we do 20 / 5 and 20 / 4

20 / 5 = 4

20 / 4 = 5

So, the 2nd part is taking the quotient from that and multiplying it by the left numerators. This would look like this:

5 * 1 = 5

4 * 2 = 8

So your "?" should look like this:

`(1)/(4) = (5)/(20)`

`(2)/(5) = (8)/(20)`

Then, you'd just add! So, 8 + 5 = 13 and 20 + 20 would stay that same ; 20. So your result is
`(13)/(20)`

I hope this helped!