# Convert Between Ounces and Grams Using a Unit Fraction

Use a unit fraction with either conversion to convert the units. Round to the 100ths place value. We are given one ounce is approximately 28.350 grams and one gram is approximately 0.0353 ounces. We will show both conversions in this video. In the first example, we’re asked to convert 12 ounces to grams. The first step is to write 12 ounces as a fraction with a denominator of one. To perform the conversion, we will multiply by a unit fraction. The important thing to recognize here is that, because we have ounces in the numerator, and we want ounces to simplify out for the unit fraction, the ounces must be in the denominator and therefore the grams must be in the numerator. Now, using the first conversion of one ounce is approximately 28.350 grams, one possible unit fraction is 28.350 grams over one ounce. Using the conversion of one gram is approximately 0.0353 ounces, another possible unit fraction would be one gram, or 0.0353 ounces. Before multiplying, notice how in both cases we have ounces divided by ounces. and therefore the units of ounces simplify out, leaving us with grams. And now, let’s determine the products. Multiplying here, notice how we have the denominator of one, and therefore, the product is just 12 times 28.350, and the units are now grams.

Here, we have 12 divided by 0.0353 and again the units are grams. And now, let’s go to the calculator and determine this product as well as the quotient. And again, we are told to round to the 100ths place value, or two decimal places. Notice how the product is 340.2 grams, and the quotient is 339.94 grams, rounding to the 100ths place value. Notice there is a slight difference because these conversions are approximations. But, the homework system will take either conversion. I’m going to go ahead and enter approximately 340.2 grams. And now, we want to convert 320 grams to ounces. And again, let’s show both conversions. We first write 320 grams as a fraction with a denominator of one. Now, we multiply by a unit fraction to perform the conversion. In this case, because you want grams to simplify out, and we have grams in the numerator here, grams must be in the denominator of the unit fraction, and therefore ounces will be in the numerator.

Using the first conversion of one ounce is approximately 28.350 grams, one possible unit fraction is one ounce over 28.340 grams. Using the second conversion, a possible unit fraction would be 0.0353 ounces over one gram. And now, before multiplying, notice how in both cases we have grams divided by grams, and therefore the units of gram simplify out, leaving us with ounces. In this first product, we have 320 divided by 28.350 ounces, and in the second product, we have 320 times 0.0353 ounces. And now, let’s go back to the calculator.

Rounding to the 100ths place value, notice how the quotient is approximately 11.29 ounces. Because we have a seven and a third decimal place, you round up. And then, for the product, because we have a six in the third decimal place you round up. Because we have a nine to the left, this rounds to 11.30. So, we have approximately 11.29 ounces, and 11.30 ounces. And again, the system will accept either conversion. I’m going to go ahead and enter 11.29 ounces. I hope you found this helpful.. 