3 men painting a house takes seven and half days. How long would 5 men take over the same job working at the same rate leave the answer in fraction

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3 men take 7.5 days

7.5 days = 7 and a half days

7 and a half days = 7 1/2 days

7 1/2 days = 15/2 days

5 men = (15/2) x (5/3)

5 men = 25/2 days

25/2 days = 12 1/2 days