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The exact conversion factor between ounces and grams is 1 ounces : 28.34952 gram
This number is a bit difficult to use. For most cases rounding is acceptable. Rounding will give an answer that is slightly different than using the full factor, but it will be a small difference.
28.34952 rounded to the nearest hundredth is 28.35 so the rounded conversion factor is 28.35 grams : 1 ounce.
When measurement ratios are written as fractions, units in the denominators will cancel out the same unit in the numerator. An organizational technique for converting measurements is to write all the needed ratios as fractions.
Line up and flip the fractions so that unneeded units are cancelled out and the desired units are left in the numerator.
Example
Convert 3,900 grams to pounds and ounces
Relevant ratios:
Start with 3,900 grams
Grams is in the unit in the numerator, grams won’t be in the answer so it needs to be cancelled. The ratio is . Since grams is currently in the numerator, this ratio should be flipped so that the grams in the denominator cancels the one in the numerator.
3,900 grams x = 137.566137566 rounded to the nearest hundredth = 137.57 ounces
The next step is to find out how many pounds. Since the answer requires pounds and ounces, this won’t be a straight conversion. There ratio between pounds and ounces is . Since ounces is in the numerator currently, the ratio needs to be flipped so that ounces will cancel. This will result in dividing 156 ounces by 16. The difference here is that instead of continuing to divide and getting a decimal, stop at the whole number and calculate a remainder instead. The whole number is the number of pounds, the remainder is the number of ounces.
137.57 16 =9 remainder 12
156 ounces x = 8 pounds 9.57 ounces
Sample Math Problems
Problem
Convert 2215 grams to pounds and ounces.
Solution
Use the ratio to convert grams to ounces.
2215 grams x =78.13051146 ounces rounded to the nearest hundredth = 78.13
