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Jesse spends 1/2 of his pocket money on Monday. On Tuesday, he spends 3/4 of what is left. On Wednesday, he spends 1/4 of what remains. What fraction of the pocket money does he have left? Choose the most reasonable answer.
1/3
6/6
4/3
1/8
Let’s solve the problem step by step.
1. Let’s assume Jesse’s total pocket money is 1 (for simplicity).
2. On Monday, he spends 1/2 of his pocket money:
– Amount spent on Monday = 1/2
– Amount left after Monday = 1 – 1/2 = 1/2
3. On Tuesday, he spends 3/4 of what is left:
– Amount spent on Tuesday = 3/4 of (1/2) = 3/8
– Amount left after Tuesday = (1/2) – (3/8)
– To subtract, we convert 1/2 to eighths: 1/2 = 4/8
– So, Amount left after Tuesday = 4/8 – 3/8 = 1/8
4. On Wednesday, he spends 1/4 of what remains:
– Amount spent on Wednesday = 1/4 of (1/8) = 1/32
– Amount left after Wednesday = (1/8) – (1/32)
– To subtract, convert 1/8 to thirty-seconds: 1/8 = 4/32
– So, Amount left after Wednesday = 4/32 – 1/32 = 3/32
5. Final amount left: Jesse has 3