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How to Convert Ounces to Liters

Instructor: Laura Pennington

Laura has taught collegiate mathematics and holds a master's degree in pure mathematics.

In this lesson, we will learn how to convert ounces to liters using a simple conversion process. We will then look at multiple examples of applying this process in real world situations.

Steps to Solve

Our goal is to find out how to convert ounces to liters. In other words, if we have x ounces, we want to know how to convert those x ounces to liters. I've got good news! Keeping in mind that we are working with U.S. ounces, this is a fairly simple process, and it all revolves around the fact that 1 ounce is equal to 0.0295735 liters.


Conversion Fact
ounlit1


Let's think about this. Since 1 ounce is equal to 0.0295735 liters, if we have x ounces, then we have x copies of 0.0295735 liters. This tells us that to convert x ounces to liters, we simply multiply x by 0.0295735 liters.


Conversion Fact
ounlit2


Solution

To convert ounces to liters, we use the fact that 1 ounce = 0.0295735 liters. Using this fact, we have that x ounces is equal to x ⋅ 0.0295735 liters.

Applications

Believe it or not, converting ounces to liters can easily come up in our daily lives. For example, suppose you've just started a nutritional program that tells you to drink 2 liters of spring water daily. You buy bottled spring water, and each bottle holds 20 ounces of water. You need to know how many bottles of water you need to drink each day to make sure you are getting in your 2 liters.


Problem
ounlit3


Once again - good news! We can use our new-found knowledge of converting ounces to liters to solve this problem! First, we figure out how many liters is in one 20 oz bottle of water, then we figure out how many of these would get us to 2 liters. In other words, we convert 20 ounces to liters and then we divide that answer into 2. Great! That's just basic arithmetic! Let's get to it!

First, we convert 20 ounces to liters by multiplying 20 by 0.0295735.

20 ⋅ 0.0295735 = 0.59147

Okay! We have that 20 ounces is equal to 0.59147 liters, so each bottle of water is 0.59147 liters. We're almost there! Now, we just divide 2 liters by 0.59147 liters.

2 / 0.59147 ≈ 3.38

This tells us that you need to drink approximately 3.38 bottles of water to make sure you're getting in 2 liters of water. Basically, if you're getting in about three to four bottles of spring water in a day, you're good to go!

We see how being able to convert from ounces to liters is very useful in the real world! Let's consider another example. Suppose you are making soup for dinner - yum! The recipe calls for 28 ounces of chicken stock. However, you only have a liter measuring container, and it's not marked in ounces. Ah! Once again, we can solve this conundrum using our conversion process!


Problem
ounlit4


All we have to do is convert 28 ounces to liters and then we can use our liter container to measure out the appropriate amount of chicken stock for your soup. Let's do this!

First, we convert 28 ounces to liters by multiplying by 0.0295735.

28 ⋅ 0.0295735 ≈ 0.83

We see that 28 ounces is approximately 0.83 liters. Awesome! All you have to do is fill your liter container a little over three-quarters of the way full of chicken stock, and you've got the appropriate amount for your soup! Dinner will be ready in no time!

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