Let's solve each of the 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?
####
Step 1: Identify the fractions to add
We need to add:
$$
\frac{4}{5} + \frac{7}{10}
$$
####
Step 2: Find a common denominator
The denominators are 5 and 10. The least common denominator (LCD) is
10.
Convert $\frac{4}{5}$ to a fraction with denominator 10:
$$
\frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}
$$
Now add:
$$
\frac{8}{10} + \frac{7}{10} = \frac{15}{10}
$$
####
Step 3: Simplify the result
$$
\frac{15}{10} = \frac{3}{2} = 1\frac{1}{2}
$$
####
✔ Answer:
The total mass of seafood is
$1\frac{1}{2}$ 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.
####
Step 1: Identify the fractions to add
$$
\frac{3}{8} + \frac{1}{2}
$$
####
Step 2: Find a common denominator
Denominators are 8 and 2. The LCD is
8.
Convert $\frac{1}{2}$ to eighths:
$$
\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}
$$
Now add:
$$
\frac{3}{8} + \frac{4}{8} = \frac{7}{8}
$$
####
✔ Answer:
The total mass of sugar used is
$\frac{7}{8}$ kg.
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✔ Final Answers:
1.
Total seafood mass: $1\frac{1}{2}$ kg
2.
Total sugar used: $\frac{7}{8}$ kg
Let me know if you'd like these explained visually or with diagrams!
Parent Tip: Review the logic above to help your child master the concept of fraction word problems 4th grade worksheet.