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Adding Unlike Fractions
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Adding Unlike Fractions
Find common denominators when needed. Simplify each answer and show your work for written problems.
Build equivalent fractions
1.What is the least common denominator of 1/6 and 1/8?
- 14
- 24
- 48
- 12
2.Write 3/4 and 1/6 as equivalent fractions with denominator 12.
3.Select every pair that has unlike denominators.
- 2/9 and 5/9
- 1/3 and 1/4
- 3/10 and 7/10
- 2/5 and 1/8
4.Match each fraction to an equivalent fraction with denominator 20.
- 1/2
- 1/5
- 3/4
- 3/10
- 4/20
- 6/20
- 15/20
- 10/20
Add and subtract
5.Use the fraction model to find 1/3 + 1/6. Give your answer in simplest form.
6.Add 2/5 + 1/4. Write the sum in simplest form.
7.Find 7/8 − 1/3. Simplify your answer.
8.Add 3/10 + 2/5. Express the result in simplest form.
9.Add 5/6 + 1/4. Write the answer as a mixed number in simplest form.
Fractions in real situations
10.Ethan biked 2/3 mile in the morning and 3/8 mile in the afternoon. How far did she bike altogether? Give the answer in simplest form.
11.A jug held 7/8 gallon of lemonade. After 1/3 gallon was poured out, how much lemonade remained? Give the answer in simplest form.
12.In one day, Harper read 1/4 of a book before lunch and 2/5 of the book after lunch. What fraction of the book did he read that day?
13.Explain why 1/3 + 1/4 cannot be found by adding the numerators and denominators separately. Include the correct sum.
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