Sure! Let’s solve both fraction word problems step by step.
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Problem 1:
> Mother bought 4/5 kg of fish and 7/10 kg of prawns. What is the total mass of seafood bought by mother in kg?
We need to
add the two fractions:
4/5 + 7/10
✔ Step 1: Find a common denominator.
The denominators are 5 and 10. The least common denominator (LCD) is
10.
✔ Step 2: Convert 4/5 to tenths.
Multiply numerator and denominator by 2:
4/5 = (4 × 2)/(5 × 2) = 8/10
✔ Step 3: Add the fractions.
8/10 + 7/10 = 15/10
✔ Step 4: Simplify the result.
15/10 can be simplified by dividing numerator and denominator by 5:
15 ÷ 5 = 3,
10 ÷ 5 = 2 →
3/2
✔ Step 5: Convert to mixed number (optional, but often preferred).
3/2 = 1 1/2
✔ Final Answer: 1 1/2 kg (or 1.5 kg)
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Problem 2:
> Priscilla uses 3/8 kg of sugar to make biscuits and 1/2 kg of sugar to make cakes. Calculate the total mass of sugar used in kg.
We need to
add:
3/8 + 1/2
✔ Step 1: Find a common denominator.
Denominators are 8 and 2. LCD is
8.
✔ Step 2: Convert 1/2 to eighths.
Multiply numerator and denominator by 4:
1/2 = (1 × 4)/(2 × 4) = 4/8
✔ Step 3: Add the fractions.
3/8 + 4/8 = 7/8
✔ Step 4: Check if it can be simplified.
7/8 is already in simplest form.
✔ Final Answer: 7/8 kg
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✔ Final Answers:
1.
1 1/2 kg
2.
7/8 kg
Let me know if you’d like visual diagrams or more practice!
Parent Tip: Review the logic above to help your child master the concept of fraction worksheet word problems.