Multiplying Fractions by Whole Numbers
Use repeated addition, models, and simplification
Multiplying Fractions by Whole Numbers
Use repeated addition, models, and simplification
Math - Grade 4-5
- 1
Solve: 3 x 1/4.
Think of 1/4 + 1/4 + 1/4.
3 x 1/4 = 3/4. This means three groups of one fourth make three fourths. - 2
Solve: 5 x 2/3. Write the answer as a mixed number if needed.
5 x 2/3 = 10/3, which is 3 1/3. The product is three and one third. - 3
A recipe uses 3/4 cup of oats for one batch of muffins. How many cups of oats are needed for 4 batches?
Multiply 4 by the numerator 3, then divide by 4.
4 x 3/4 = 12/4, which equals 3. The recipe needs 3 cups of oats. - 4
Solve: 6 x 1/2.
6 x 1/2 = 6/2, which equals 3. The product is 3. - 5
There are 8 water bottles. Each bottle is 3/5 full. If all the water is poured together, how many full bottles of water are there?
First find 8 groups of 3/5, then change the improper fraction to a mixed number.
8 x 3/5 = 24/5, which is 4 4/5. There are 4 4/5 full bottles of water. - 6
Solve: 2 x 5/6.
2 x 5/6 = 10/6, which simplifies to 5/3 or 1 2/3. The product is 1 2/3. - 7
A student reads 2/5 of a book each day for 3 days. How much of the book does the student read in all?
Add 2/5 three times or multiply 3 x 2/5.
3 x 2/5 = 6/5, which is 1 1/5. The student reads 1 1/5 books in all. - 8
Solve: 7 x 3/8.
7 x 3/8 = 21/8, which is 2 5/8. The product is 2 5/8. - 9
A ribbon is 4/7 meter long. Mia cuts 5 ribbons of the same length. What is the total length of the ribbons?
Multiply the number of ribbons by the length of each ribbon.
5 x 4/7 = 20/7, which is 2 6/7. The total length is 2 6/7 meters. - 10
Solve and simplify: 9 x 2/9.
9 x 2/9 = 18/9, which equals 2. The simplified product is 2. - 11
A tray has 12 equal spaces for cupcakes. Each cupcake uses 1/3 cup of batter. How many cups of batter are needed for 12 cupcakes?
Twelve thirds make 4 wholes.
12 x 1/3 = 12/3, which equals 4. The cupcakes need 4 cups of batter. - 12
Solve: 4 x 5/8.
4 x 5/8 = 20/8, which simplifies to 5/2 or 2 1/2. The product is 2 1/2. - 13
A garden row is 2/3 yard long. There are 6 equal garden rows. What is the total length of all the rows?
Multiply 6 by 2, then divide by 3.
6 x 2/3 = 12/3, which equals 4. The total length is 4 yards. - 14
Which expression has the greater product: 3 x 2/5 or 4 x 1/2? Show your work.
3 x 2/5 = 6/5, which is 1 1/5. 4 x 1/2 = 4/2, which is 2. The expression 4 x 1/2 has the greater product. - 15
Write a multiplication equation for this repeated addition: 3/10 + 3/10 + 3/10 + 3/10. Then find the sum.
Count how many equal fraction parts are being added.
The multiplication equation is 4 x 3/10 = 12/10. The sum is 12/10, which simplifies to 6/5 or 1 1/5.