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Adding Unlike Fractions Worksheet

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Adding Unlike Fractions Worksheet

Amira, Anh and Cooper are measuring supplies for a bush regeneration day. Solve each fraction problem, showing how you made equivalent fractions with a common denominator. Simplify each answer, and write improper fractions as mixed numbers where useful.

Warm-up: match the parts

Use the fraction bars to picture each sum. Then calculate.

1.The team filled 1/3 of a water container, then added another 1/4. What fraction of the container is filled altogether? Simplify your answer.

2.A roll of biodegradable tape is 2/5 used for marking planting spots and 1/4 used for repairs. What fraction of the roll has been used in total?

Field calculations

Choose a common denominator efficiently. Check whether your final fraction can be simplified.

3.Add 5/8 + 1/6. Show equivalent fractions and simplify.

4.Add 7/12 + 5/18. Show your common denominator and simplify.

5.The team covered 3/4 of one section of a track with mulch and 5/6 of another equal-sized section. How many section-lengths did they cover altogether? Give a mixed number. Use the blank fraction bar to represent your sum.

6.Cooper says 2/3 + 3/8 = 5/11 because he added the numerators and denominators. Explain the mistake and give the correct sum.

7.Choose the correct result for 5/9 + 1/6. Which calculation is correct?

6/15
13/18
11/18
1 1/18

8.A box contains seedling labels. Amira used 2/7 of the labels in the morning and 3/14 in the afternoon. What fraction of the labels did she use? What fraction remains? Use the blank fraction bar to represent the fractions used and remaining.

9.Create a bush regeneration supply problem whose calculation is 1/2 + 2/3. Write the story and solve it, giving your result as a mixed number.