Use fraction strips to find each sum or difference. Simplify if possible.
2 1/3 + 1 2/3
3 5/6 + 4 3/6
4 6/10+ 5 7/10
1 1/6 + 3 5/6
2 4/9 + 6 7/9
Here are some fraction strips.
http://www.taw.org.uk/demo/mathematics/shapes/fractionStrip.htm
http://www.teachervision.fen.com/tv/printables/0134356500_M1MUTM25.pdf
I'll be glad to check your answers.
I still need help. That didn't help me.
What is the sum of
1
2
+
1
4
? Use the fraction strip to help.
3 3/4 - 2 1/4
To use fraction strips to find the sum or difference of fractions, follow these steps:
1. Identify the total number of whole units and the fractional parts in both fractions.
2. Convert the mixed numbers into improper fractions.
3. Use fraction strips to visually represent the fractions.
4. Combine the strips or cut them into the same size to perform addition or subtraction.
5. Write the resulting fractional sum or difference in simplest form.
Let's apply these steps to each problem:
1. 2 1/3 + 1 2/3:
- Identify: 2 whole units, 1/3 fraction in the first number, and 1 whole unit, 2/3 fraction in the second number.
- Convert to improper fractions: 2 1/3 becomes 7/3, and 1 2/3 becomes 5/3.
- Visualize: Take two whole strips and cut one into 3 equal parts.
- Combine: Attach the cut strip to the other whole strip to make three-thirds (7/3) and attach two-thirds (5/3) next to it.
- Result: The combined length is 12/3 or 4. Simplified, it is 4.
2. 3 5/6 + 4 3/6:
- Identify: 3 whole units, 5/6 fraction in the first number, and 4 whole units, 3/6 fraction in the second number.
- Convert to improper fractions: 3 5/6 becomes 23/6, and 4 3/6 becomes 27/6.
- Visualize: Take three whole strips and cut one into 6 equal parts.
- Combine: Attach the cut strip to the other two whole strips to make six-sixths (23/6) and attach three-sixths (27/6) next to it.
- Result: The combined length is 50/6 or 8 2/6. Simplified, it is 8 1/3.
3. 4 6/10 + 5 7/10:
- Identify: 4 whole units, 6/10 fraction in the first number, and 5 whole units, 7/10 fraction in the second number.
- Convert to improper fractions: 4 6/10 becomes 46/10, and 5 7/10 becomes 57/10.
- Visualize: Take four whole strips and cut one into 10 equal parts.
- Combine: Attach the cut strip to the other three whole strips to make ten-tenths (46/10) and attach seven-tenths (57/10) next to it.
- Result: The combined length is 103/10 or 10 3/10. Simplified, it is 10 3/10.
4. 1 1/6 + 3 5/6:
- Identify: 1 whole unit, 1/6 fraction in the first number, and 3 whole units, 5/6 fraction in the second number.
- Convert to improper fractions: 1 1/6 becomes 7/6, and 3 5/6 becomes 23/6.
- Visualize: Take one whole strip and cut it into 6 equal parts.
- Combine: Attach the cut strip to the whole strip to make six-sixths (7/6) and attach five-sixths (23/6) next to it.
- Result: The combined length is 30/6 or 5. Simplified, it is 5.
5. 2 4/9 + 6 7/9:
- Identify: 2 whole units, 4/9 fraction in the first number, and 6 whole units, 7/9 fraction in the second number.
- Convert to improper fractions: 2 4/9 becomes 22/9, and 6 7/9 becomes 61/9.
- Visualize: Take two whole strips and cut each into 9 equal parts.
- Combine: Attach the cut strip to the other whole strip to make nine-ninths (22/9) and attach seven-ninths (61/9) next to it.
- Result: The combined length is 83/9 or 9 2/9. Simplified, it is 9 2/9.
Using fraction strips can help visualize the addition or subtraction of fractions and provide a hands-on approach to understanding fraction operations.