Ahmad, Mei Ling and Siti shared a pizza on a Sentosa picnic. Ahmad ate 1/2 of the pizza, Mei Ling ate 1/3 of the pizza and Siti ate 1/4 of the pizza. What fraction of the pizza did they eat altogether? Express your answer as a mixed number in simplest form.
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Worked Solution
Step 1: Identify denominators 2, 3 and 4. They are different, so a common denominator is needed.
Step 2: Find the LCD. Multiples of 4 are 4, 8, 12, 16... and 12 is divisible by both 2 and 3, so LCD = 12.
Step 3: Convert each fraction to twelfths: 1/2 = 6/12; 1/3 = 4/12; 1/4 = 3/12.
Step 4: Add the like fractions: 6/12 + 4/12 + 3/12 = 13/12.
Step 5: Convert to a mixed number: 13 ÷ 12 = 1 remainder 1, so 13/12 = 1 1/12. The fractional part 1/12 is already in simplest form.
Final answer: 1 1/12.
Answer: 1 1/12
Correct answer: 1 1/12
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