Question

Tiki gets her hair cut every 4 months and gets a new shirt every 3 months. How many months a year with she get her hair cut and buy a new shirt in.the same month

Answer 1

Answer: Every 12 months (aka once a year)

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Step-by-step explanation:

List out the multiples of 4 and 3

Multiples of 4 = {4, 8, 12, 16, 20, 24, ...}

Multiples of 3 = {3, 6, 9, 12, 15, 18, 21, 24, ...}

The terms in bold are the common multiples between the two lists. The smallest or lowest common multiple (LCM) is 12. Every 12 months, or every 1 year, Tiki gets her hair cut and a new shirt in the same month.

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A shortcut to find the LCM is to multiply the values 4*3 = 12. This only works when the GCF of the two original numbers is 1.