Measurement and Conversion Worksheets

Practice and master measurement and conversion with our helpful walkthroughs and downloadable practice worksheets from our team of elite math educators.

Grams to Pounds and Ounces

By Crystal Greenfield

A gram is a unit used to describe mass in the metric measurement system. Pounds and ounces are units used to describe weight in the U.S. customary measurement system. Mass and weight are slightly different. Weight can be thought of as mass x gravity. Gravity on most of earth is “1”. Multiplying a number by 1 doesn’t change the number so as long as the calculations are being done on Earth, weight and mass are mostly interchangeable. This means measurements taken in grams can be converted into an equivalent number of pounds and ounces using a constant conversion factor. Grams can also be converted to an equivalent number of pounds and ounces.

Why is this concept useful?

Data collected from different sources will sometimes have different units. Converting all of the data to the same unitary system makes it easier to use.

Where does this concept fit into the curriculum?

Middle and high school

Name
Grade
TestName
Grade3
TestName2
Grade5
TestName3
Grade8
[xn+yn=zn][ x^n + y^n = z^n ]

The exact conversion factor between ounces and grams is 1 ounces : 28.34952 gram

E=mc2E=mc^2

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.

∫0∞x2dx\int_0^\infty x^2 dx

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.

(22=1gramsgrams=1)(\frac{2}{2} =1 \frac{grams}{grams}=1)

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:

28.35grams1ounce\frac{28.35 grams}{1 ounce}

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

28.35grams1ounce\frac{28.35 grams}{1 ounce}
. 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

1ounce28.35grams\frac{1 ounce}{28.35 grams}
= 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

16ounces1pound\frac{16 ounces}{1 pound}
. 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

1pound16ounces\frac{1 pound}{16 ounces}
= 8 pounds 9.57 ounces

Sample Math Problems

Problem

Convert 2215 grams to pounds and ounces.

Solution

Use the ratio

1ounce28.35grams\frac{1 ounce}{28.35 grams}
to convert grams to ounces.

2215 grams x

1ounce28.35grams\frac{1 ounce}{28.35 grams}
=78.13051146 ounces rounded to the nearest hundredth = 78.13

Use the ratio

1pound16ounces\frac{1 pound}{16 ounces}
to convert to pounds and ounces. Remember to find a whole number and remainder.

78.13 ounces x

1pound16ounces\frac{ 1 pound}{16 ounces}
= 4 pounds 14.13 ounces

Problem

Convert 6 pounds and 7 ounces to grams.

Solution

Use the ratio

1pound16ounces\frac{1 pound}{16 ounces}
to convert the pounds to ounces then add the remaining ounces to find the total ounces.

Since the unit pounds is already in the denominator, flip the ratio so that the unit pounds is in the denominator.

6 pounds x

16ounces1pound\frac{16 ounces}{1 pound}
= 96 ounces

96 ounces + 7 ounces = 103 ounces

Use the ratio

28.35grams1ounce\frac{28.35 grams}{ 1 ounce}
to convert ounces to grams.

Since the unit ounces is in the numerator, leave the ratio as it is so that ounces will cancel with the ounces in the denominator of the ratio leaving the unit grams.

103 ounces x

28.35grams1ounce\frac{28.35 grams}{1 ounce}
= 2920.05 grams

Problem

Claire adopted a new kitten. The kitten weighs 2 pounds 6 ounces. How many grams does the kitten weigh?

Solution

Convert the pounds and ounces to ounces.

2 pounds x

16ounces1pound\frac{16 ounces}{1 pound}
= 32 ounces

32 ounces + 6 ounces = 38 ounces

Use the ratio

28.35grams1ounce\frac{28.35 grams}{1 ounce}
to convert ounces to grams.

Since the unit ounces is in the numerator, leave the ratio as it is so that ounces will cancel with the ounces in the denominator of the ratio leaving the unit grams.

38 ounces x

28.35grams1ounce\frac{28.35 grams}{1 ounce}
= 1077.3 grams

The kitten weighs 1,077.3 grams.

Problem

Aashi is loading stacks of textbooks into a cart. Each textbook weighs 2,350 grams. There are 8 textbooks in each stack and 3 stacks. The cart weighs 50 pounds. How many pounds and ounces will the cart weigh after Aashi has put all of the textbooks in the cart?

Solution

First find the total number of books by multiplying the number of books in each stack times the number of stacks.

8textbooks1stack\frac{8 textbooks}{1 stack}
x3 stacks = 24 textbooks

Then find the total weight of the textbooks by multiplying the weight of each book times the number of books.

2,350grams1book\frac{2,350 grams}{1 book}
x 24 books = 56,400 grams

Then convert the grams to ounces.

56,400 grams x

1ounce28.35grams\frac{1 ounce}{28.35 grams}
=1989.417989 ounces rounded to the nearest hundredth = 1989.42 ounces

Then convert ounces to pounds and ounces. Remember to divide so that you have a remainder.

1989.42 ounces x

1pound16ounces\frac{1 pound}{16 ounces}
= 124 pounds 5.42 ounces

Finally, add the weight of the cart.

124 pounds 5.42 ounces + 50 pounds = 174 pounds 5.42 ounces.

The weight of the loaded cart will equal 174 pounds 5.42 ounces.

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Practice Math Problems

Convert 4800 grams to pounds and ounces.

Convert 13 pounds and 15 ounces to grams

The Malcolm family just welcomed a new baby. The baby weighs 8 pounds and 9 ounces. How many grams does the baby weigh?

Jamie is unloading a cart filled with bags of rice. Before he started emptying it the cart weighed 32,205 grams. When he finished the cart weighed 28,349 ounces. How many pounds and ounces did the bags of rice weigh?

FAQs on Grams to Pounds and Ounces

TODO: get the text

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