Grade 6|Word Problems Worksheets|www.grade1to6.com - Free Printable

Let's solve each of the fraction word problems step by step.

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1. Stella goes for a long walk and walks $ \frac{2}{10} $ mile. She rested for some time and walked $ \frac{4}{10} $ mile. How much did Stella walk in total?

Step 1: Add the two distances:
$$
\frac{2}{10} + \frac{4}{10} = \frac{6}{10}
$$

Step 2: Simplify the fraction:
$$
\frac{6}{10} = \frac{3}{5}
$$

✔ Answer: Stella walked $ \frac{3}{5} $ mile in total.

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2. Amelia walks $ \frac{8}{10} $ of a mile to her school. Ava walks $ \frac{7}{10} $ of a mile to school. Who walks more and by what distance?

Step 1: Compare the fractions:
- $ \frac{8}{10} > \frac{7}{10} $

So, Amelia walks more.

Step 2: Find the difference:
$$
\frac{8}{10} - \frac{7}{10} = \frac{1}{10}
$$

✔ Answer: Amelia walks more by $ \frac{1}{10} $ mile.

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3. The new playground had $ \frac{1}{5} $th of its space for football ground, $ \frac{3}{5} $th space for track and field activities. How much space is left after this now?

Step 1: Add the used space:
$$
\frac{1}{5} + \frac{3}{5} = \frac{4}{5}
$$

Step 2: Subtract from the whole (1 whole = $ \frac{5}{5} $):
$$
\frac{5}{5} - \frac{4}{5} = \frac{1}{5}
$$

✔ Answer: $ \frac{1}{5} $ of the space is left.

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4. An empty box weighs $ 3\frac{1}{3} $ kg. It is then filled with $ 14\frac{1}{3} $ kg of fruit. What is the weight of the box when it is full?

Step 1: Convert mixed numbers to improper fractions:
- $ 3\frac{1}{3} = \frac{10}{3} $
- $ 14\frac{1}{3} = \frac{43}{3} $

Step 2: Add the weights:
$$
\frac{10}{3} + \frac{43}{3} = \frac{53}{3}
$$

Step 3: Convert back to mixed number:
$$
\frac{53}{3} = 17\frac{2}{3}
$$

✔ Answer: The full box weighs $ 17\frac{2}{3} $ kg.

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5. A black table has a width of $ \frac{1}{3} $ meter, a brown table has a width of $ \frac{2}{5} $ meter, and the white table has a width of $ \frac{4}{5} $ meter. Which table has the longest width?

Step 1: Compare the fractions:
- $ \frac{1}{3} \approx 0.333 $
- $ \frac{2}{5} = 0.4 $
- $ \frac{4}{5} = 0.8 $

Clearly, $ \frac{4}{5} $ is the largest.

Alternatively, find a common denominator:
- LCM of 3 and 5 is 15.
- $ \frac{1}{3} = \frac{5}{15} $
- $ \frac{2}{5} = \frac{6}{15} $
- $ \frac{4}{5} = \frac{12}{15} $

So, $ \frac{12}{15} > \frac{6}{15} > \frac{5}{15} $

✔ Answer: The white table has the longest width.

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✔ Final Answers:

1. $ \frac{3}{5} $ mile
2. Amelia walks more by $ \frac{1}{10} $ mile
3. $ \frac{1}{5} $ of the space is left
4. $ 17\frac{2}{3} $ kg
5. White table

Let me know if you'd like these answers formatted for printing or explanation in simpler terms!