# Converting 1 Ounce to Grams: How-To & Steps

Instructor: Stephanie Matalone

Stephanie taught high school science and math and has a Master's Degree in Secondary Education.

In this lesson, we will go over the steps to convert 1 ounce to grams. You will learn the basics of setting up proportions by creating equivalent fractions. You will also learn how to cross-multiply two equal fractions to solve for an unknown variable.

## Steps to Solve the Problem

You just started a new diet where you have to measure out everything you eat, ugh! Your plan tells you that you can eat 1 ounce of bread for lunch...woohoo! The good dieter that your are, you go measure out your bread serving only to find out that your scale measures in grams. Should you just take a guess? No, we can convert that 1 ounce measurement to grams so you can stick to your diet plan!

The first thing we need to do is look up how many grams are in an ounce. Turns out that 1 ounce equals 28.349523125 grams. We will round this to 28.35 grams so our math is a little bit simpler. We can actually stop here because we have our answer of 28.35 grams. We got lucky that your diet only wanted 1 ounce. But, things do not usually work out this way so we will go over the long way to solve this which will work when you have something other than 1 ounce.

With this information, we will make our first ratio as a fraction.

Original Ratio:

Next we will set up an equivalent ratio which is a fraction that is equal to the original ratio. The fraction will equal the same number as the original fraction when divided but will be written with different numbers. For example, 1/4 and 2/8 are equivalent fractions because both equal 0.25.

It is important to have the units match the original ratio. In our case, because we have ounces on top of the original fraction, ounces must also on top of the equivalent fraction. This means we will set up the equivalent fraction with 1 ounce on top. If you were converting 4 ounces, 4 ounces would go on top.

Similarly, grams must be on the bottom of the equivalent fraction. Since we do not yet know the number of grams, we will use a variable which is a letter that stands for an unknown number. To keep things simple, we will use x to represent the amount of grams we are solving for.

Next we will set the two fractions equal to one another in a proportion. We can do this because we know the two fractions have the same value.

To solve for x, we need to cross-multiply, which involves multiplying the top of both fractions with the bottom of the equal fraction. In our proportion, we will multiply 1 ounce by x grams and 1 ounce by 28.35 grams. It is called cross-multiplying because the way you multiply looks like an X.

1 ounce x x grams = 1 ounce x 28.35 grams

Simplify, to get this:

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