Nadia is taking part in a school reading challenge. On Day 1 she reads 7/4 chapters and on Day 2 she reads 9/5 chapters. Her goal is to have read exactly 5 whole chapters by the end of Day 3. What improper fraction of a chapter must Nadia read on Day 3?
Show Worked Solution
Worked Solution
Step 1: Add Day 1 and Day 2 reading.
7/4 + 9/5
LCD of 4 and 5 = 20
7/4 = 35/20 and 9/5 = 36/20
35/20 + 36/20 = 71/20
Step 2: Convert the target (5 whole chapters) to twentieths.
5 = 100/20
Step 3: Find Day 3 reading required.
100/20 - 71/20 = 29/20
Step 4: Check 29/20 is improper. 29 > 20. Yes.
Verify: 35/20 + 36/20 + 29/20 = 100/20 = 5. Correct.
Final Answer: 29/20
Correct answer: 29/20
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