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Adding and Subtracting Similar Fractions and Mixed Numbers (with ... - Free Printable

Adding and Subtracting Similar Fractions and Mixed Numbers (with ...

Educational worksheet: Adding and Subtracting Similar Fractions and Mixed Numbers (with .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Adding and Subtracting Similar Fractions and Mixed Numbers (with ...
Let’s solve each problem step by step. All problems involve adding or subtracting similar fractions (same denominator), which is straightforward: just add or subtract the numerators and keep the denominator.

---

Problem 1:


> There are $ \frac{3}{8} $ kg bananas and $ \frac{5}{8} $ kg apples in the basket. How many kgs of fruits are in the basket?

Solution:
Add the two fractions:
$$
\frac{3}{8} + \frac{5}{8} = \frac{3+5}{8} = \frac{8}{8} = 1 \text{ kg}
$$

Answer: a. 1 kg

---

Problem 2:


> $ \frac{1}{10} $ kg broccoli and $ \frac{7}{10} $ kg spinach are to be delivered today. How many kgs will be delivered?

Solution:
Add the two fractions:
$$
\frac{1}{10} + \frac{7}{10} = \frac{8}{10} = \frac{4}{5} \text{ kg} \quad \text{(simplified)}
$$

Answer: b. $ \frac{4}{5} $ kg

*(Note: Option a is $ \frac{2}{5} $, which is incorrect.)*

---

Problem 3:


> $ \frac{5}{12} $ kg of mangos and $ \frac{2}{12} $ kg of oranges were harvested. How many kilos of fruits were harvested in all?

Solution:
Add the two fractions:
$$
\frac{5}{12} + \frac{2}{12} = \frac{7}{12} \text{ kg}
$$

Answer: b. $ \frac{7}{12} $ kg

*(Option a is $ \frac{7}{24} $, which would be if you mistakenly added denominators — incorrect.)*

---

Problem 4:


> There are $ \frac{49}{100} $ kg of watermelon. $ \frac{20}{100} $ kg were bought by a customer. How many were left?

Solution:
Subtract:
$$
\frac{49}{100} - \frac{20}{100} = \frac{29}{100} \text{ kg}
$$

Answer: a. $ \frac{29}{100} $ kg

*(Option b is $ \frac{29}{200} $, which is incorrect — no need to change denominator.)*

---

Problem 5:


> I bought $ \frac{7}{8} $ kg of tomato. $ \frac{5}{8} $ kg were used. How many tomatoes were left?

Solution:
Subtract:
$$
\frac{7}{8} - \frac{5}{8} = \frac{2}{8} = \frac{1}{4} \text{ kg} \quad \text{(simplified)}
$$

Answer: a. $ \frac{1}{4} $ kg

*(Option b is $ \frac{1}{8} $, which is half of the correct answer — mistake in simplifying or subtracting.)*

---

Problem 6:


> If $ \frac{37}{100} $ kg onions out of $ \frac{73}{100} $ kg onions were used. How many onions were left?

Solution:
Subtract:
$$
\frac{73}{100} - \frac{37}{100} = \frac{36}{100} = \frac{9}{25} \text{ kg} \quad \text{(simplified by dividing numerator and denominator by 4)}
$$

Answer: b. $ \frac{9}{25} $ kg

*(Option a is $ \frac{9}{100} $, which is incorrect — that’s only 1/4 of the correct simplified answer.)*

---

## Final Answers:

1. a
2. b
3. b
4. a
5. a
6. b

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Summary:
All problems involved adding or subtracting fractions with the same denominator. The key steps were:
- Keep the denominator the same.
- Add or subtract numerators.
- Simplify if possible.

You’re now ready to help the farmers harvest their crops! 🌽🍎🥕
Parent Tip: Review the logic above to help your child master the concept of 100 problem worksheet on adding like fractions.
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