Adding Fractions
3/8 + 1/4
5/8
1/3 - 1/6
1/6
Simplify:
3/12
1/4
3 1/2 + 5/12
3 11/12
8 11/12 - 5 2/3
3 1/4
2/3 + 3/12
11/12
9/10 - 2/5
1/2
Simplify:
48/32
3/2
4 5/6 + 3 5/12
8 1/4
7 1/2 - 5/8
6 7/8
1/6 + 4/8
2/3
5/4 - 2/5
17/20
A mint plant grows 7/8 inch in 1 week and 2/3 inch the next week. Use the least common denominator to write an equivalent fraction for each fraction.
21/24 and 16/24
Your science class makes magic milk using 1 1/8 cups of watercolor paint and 1 3/4 cups of milk. How many cups of magic milk does your class make?
2 7/8 cups
6 - 4 3/4
1 1/4
Your friend buys 1/8 pound of green lentils and 3/4 pound of brown lentils. What fraction of a pound of lentils does she buy?
7/8 pound
You have 3/4 yard of wire. You use 1/3 yard to make an electric circuit. How much wire do you have left?
5/12 yard of wire
Some friends spend 1/3 hour collecting sticks and 5/6 hour building a fort. Do they spend the same amount of time on each activity? Explain why or why not using a common denominator.
No, because 1/3 becomes 2/6 and 2/6 is less than 5/6.
5 1/2 + 4 3/4 + 6 5/8
16 7/8
A volunteer at a food bank buys 3 3/4 pounds of cheese to make sandwiches. She uses 2 7/8 pounds. How much cheese does she have left?
7/8 pound
Of all the atoms in caffeine, 1/12 are oxygen atoms, 1/6 are nitrogen atoms, and 1/3 are carbon atoms. The rest of the atoms are hydrogen. What fraction of the atoms in caffeine are oxygen, nitrogen, or hydrogen?
2/3 atoms
A geologist needs 1/2 cup of volcanic sand to perform an experiment. She has 3/2 cups of quartz sand. She has 2/3 cup more quartz sand than volcanic sand. Can she perform the experiment?
Yes, because 3/2 - 2/3 = 5/6 cup volcanic sand. 5/6 is more than 1/2, so she has enough.
A taxi driver travels 4 5/8 miles to his first stop. He travels 1 3/4 miles less to his second stop. How many miles does the taxi driver travel for the two stops?
7 3/4 miles
You listen to a song that is 2 3/4 minutes long. Then you listen to a song that is 3 1/3 minutes long. How many minutes do you spend listening to the two songs altogether?
6 1/12 minutes
Your rain gauge has 2 1/2 inches of water. After a rainstorm, your rain gauge has 1 3/4 more inches of water. It is sunny for a week. Now your rain gauge has 2 2/3 inches of water. How many inches of water evaporated?
1 7/12 inches