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High School Physics: Homework Help Resource22 chapters | 280 lessons

Instructor:
*Laura Pennington*

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

Converting from ounces to cups is a relatively easy process. That's what we'll look at in this lesson, as well how to convert the other way round. Finally, we'll see how the conversion process lends itself to real world situations.

Converting from ounces to cups is a relatively easy process. It all falls on the conversion fact that 1 ounce = 0.12503671065 cups. However, I don't know about you, but I think that seems like a lot of digits to work with! Therefore, before, we use this fact to develop the conversion process, let's simplify it a bit by rounding the cups portion to three decimals. That is, 1 ounce = 0.125 cups.

Ah, that's much easier to work with! Okay, let's get to converting! We have that 1 ounce = 0.125 cups. Therefore, if we have *x* ounces, we can think of that as *x* copies of 0.125 cups, or *x* ⋅ 0.125 cups. In a nutshell, this gives us our conversion process. We have that *x* ounces is equal to *x* ⋅ 0.125 cups.

Therefore, to convert *x* ounces to cups, we follow these steps;

- Identify
*x*, or how many ounces we want to convert to cups. - Multiply
*x*by 0.125. This converts*x*ounces to cups.

Told you it was a relatively easy process! It's just a matter of multiplication!

To convert *x* ounces to cups, we use the conversion fact that 1 ounce = 0.125 cups to give that *x* ounces = *x* ⋅ 0.125 cups. In other words, to convert *x* ounces to cups, we simply multiply *x* by 0.125.

Okay, we know how to convert ounces to cups, which is wonderful! Why, you ask? Well, because this can easily show up in our daily lives. For instance, suppose you are making a casserole that calls for 4 ounces of milk. The problem is that you only have measuring tools of 1 cup, 1/2 cup, 1/3 cup and 1/4 cup, so you don't know how you're going to measure out 4 ounces…or you didn't until reading this lesson! All you have to do is convert 4 ounces to cups, and then you can use the measuring tools you have to measure out the correct amount of milk for your casserole.

Okay then, let's do some converting! To convert 4 ounces to cups, all we have to do is multiply 4 ounces by 0.125.

4 ⋅ 0.125 = 0.5

We see that 4 ounces is equal to 0.5 cups, or 1/2 a cup. Great, grab your 1/2 cup measuring tool, and get back to that casserole!

As we said, it's great that we now know how to convert ounces to cups. Here is some more great news! We can use the conversion fact that *x* ounces = *x* ⋅ 0.125 cups to figure out how to go the other way, and convert cups to ounces. Watch what happens when we divide both sides of this conversion fact by 0.125.

x ounces = x ⋅ 0.125 cups |
Divide both sides by 0.125 |

x / 0.125 ounces = (x ⋅ 0.125) / 0.125 cups |
Simplify |

x / 0.125 ounces = x cups |
Interchange sides |

x cups = x / 0.125 ounces |
Conversion fact for cups to ounces |

Wa-la! We have a new conversion fact! We see that by manipulating the original conversion fact, we come up with a new conversion fact for converting *x* cups to ounces.

To convert *x* cups to ounces, we simply divide *x* by 0.125! Apparently, this lesson is full of good news, because this conversion fact is more of it! In the same way that converting ounces to cups proves to be very useful in the real world, so does converting cups to ounces!

For example, think back to your dinner casserole. Suppose that the recipe calls for 2 cups of sour cream, and unlike the first scenario, you only have a measuring utensil that is marked in ounces, not cups. Now, we see why being able to convert in the other way (cups to ounces) is good news - you can still make your casserole! All you have to do is convert 2 cups to ounces by dividing 2 by 0.125.

2 / 0.125 = 16

We see that 2 cups is equal to 16 ounces, and you can measure out your sour cream!

Conversion facts are extremely useful in the real world, because they allow us to convert from once measurement to another, and as we saw, this could mean the difference between a delicious casserole for dinner or a dinner disaster!

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High School Physics: Homework Help Resource22 chapters | 280 lessons

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