Emma used 1/8 of a liter of milk to make 1/2 of a jug of tea. How much milk, in liters, is required to fill the jug? Type your answer as a fraction. If it is improper, change it to a mixed number

Answer 1

Hello Andrew,

First, let us set this up as a proportional equation, fair enough?

Therefore:

1/8 = x

----- ------

1/2 1

Second, we can cross multiply this equation due to the properties involved in the proportional equation. Therefore:

1/2 x = 1/8 <----------This is the result of cross multilplying

x = 1/8 * 2/1 <----------Divide both sides of the equation by 1/2. Remember: You use the

reciprocal when dividing by a fraction on the other side of the equation,

okay?

x = 2/8 or 1/4 <---------When performing the division, you end up with 2/8 and that reduces to 1/4

Therefore: 1/4 liter is required to fill the jug.

I hope this assists and that you have a great weekend. If you have additional questions, want to provide feedback, or need further clarity please feel free to click the "add comment" prompt, and leave the information directly beneath this solution. If you need one-on-one tutoring, please feel free to reach out to me or any tutor. Best!