Mei Ling borrowed a library book. She read 3/8 of the book on Day 1 and 5/12 of the book on Day 2. What fraction of the book has Mei Ling not yet read?
Show Worked Solution
Worked Solution
Step 1: Find the LCD of 8 and 12.
Multiples of 12: 12, 24, 36 ...
24 ÷ 8 = 3, so 24 is divisible by both 8 and 12.
LCD = 24.
Step 2: Convert each fraction.
3/8 = (3 × 3)/(8 × 3) = 9/24
5/12 = (5 × 2)/(12 × 2) = 10/24
Step 3: Add to find the total fraction read.
9/24 + 10/24 = 19/24
Step 4: Subtract from 1 to find the fraction not yet read.
1 − 19/24 = 24/24 − 19/24 = 5/24
Mei Ling has not yet read 5/24 of the book.
Correct answer: 5/24
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