Priya ate 1/4 of a pandan cake and her brother Ravi ate 3/8 of the same cake. What fraction of the pandan cake did the two children eat altogether?
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Worked Solution
Step 1: Identify the denominators: 4 and 8. Find the LCD — since 8 is a multiple of 4, the LCD is 8.
Step 2: Convert 1/4 to eighths by multiplying numerator and denominator by 2: 1/4 = 2/8.
Step 3: Add the like fractions: 2/8 + 3/8 = 5/8.
Step 4: Check that 5/8 is in its simplest form — 5 and 8 share no common factor other than 1, so 5/8 is already simplified.
Step 5: Verify by reverse subtraction: 5/8 − 3/8 = 2/8 = 1/4. ✓
Final answer: 5/8.
Answer: 5/8
Correct answer: 5/8
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