Welcome to Mathnasium’s Math Tricks series. Today we are sharing a trick to find a quarter of any number.

The word *quarter* means “four parts the same,” or “four equal parts.” To find a quarter of a number, we first cut the number in half and then cut it in half again, which means we find the *half-of-a-half*. Once we find one fourth of the whole, we can verify that the answer plus itself, doubled, is the original number.

Follow the example below to find the quarter amount.

# Example: You are sharing a 15-pack of gum with three friends and yourself. How many pieces of gum do you get?

** Step 1: Determine the problem to be solved.**

Since you are sharing fifteen pieces of gum with four people, you will get a quarter of the whole amount.

** Step 2: Find a half of the original amount.**

Half of 15 is 7 ½.

** Step 3: Find the half-of-the-half.**

Half of 7 ½ is equal to half of 7 plus half of ½.

Half of 7 is equal to 3 ½.

Half of ½ is equal to ¼.

So, a quarter of 15 is equal to 3 ½ + ¼ = 3 ¾.

** Step 4: Check the answer.**

The answer plus itself is equal to 3 ¾ + 3 ¾ = 7 ½.

The result doubled is equal to 7 ½ x 2 = 15.

**Answer:** You, and each of your friends, will get 3 ¾ pieces of gum.

Now, with this strategy, you are ready to find a quarter of any number. Click here for more practice problems, then check your answers here.

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