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Use Common Multiples
A Calendar for July is shown below. Kate goes swimming every 3 days, and Ann
goes swimming every 5 days. They both went swimming on June 30th. Find all
the dates that they both go swimming in July.
July
Sun Mon Tue Wed Thu Fri Sat
123456
7 8 9 10 11 12 13
14 15 16 17 18 19 20
21 22 23 24 25 26 27
28 29 30 31
Step 1. Write all the dates on which Kate goes swimming.
Step 2. Write all the dates on which Ann goes swimming.
Step 3. Write all the dates on which they both go swimming.
Use Common Multiples
A Calendar for July is shown below. Kate goes swimming every 3 days, and Ann
goes swimming every 5 days. They both went swimming on June 30th. Find all
the dates that they both go swimming in July.
July
Sun Mon Tue Wed Thu Fri Sat
123456
7 8 9 10 11 12 13
14 15 16 17 18 19 20
21 22 23 24 25 26 27
28 29 30 31
Step 1. Write all the dates on which Kate goes swimming.
Step 2. Write all the dates on which Ann goes swimming.
Step 3. Write all the dates on which they both go swimming.

