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What is 1/2 of 2 7/8?

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David Shabazi answered

First, we need to understand that the "of" keyword signifies that multiplication is involved. Meaning you'll multiply 1/2 by 2 7/8.

But to do that, we must first convert the mixed fraction into an improper fraction. Let's look at the 2 in "2 7/8" first.

2 = 4/2

4/2 = (4 * 4)/(2 * 4) = 16/8

So now we know that 2 is 16/8. Your next step is to add that to the 7/8.

16/8 + 7/8 = (16 + 7)/8 = 23/8

The problem can now be rewritten as 1/2 * 23/8. Multiplying something by 1/2 is like dividing by the reciprocal. And in this case, the reciprocal of 1/2 is 2, so we can take out the 1/2 and the multiplication sign, and divide 23/8 by 2.

(23/8)/2 = 23/16

Therefore, 1/2 of 2 7/8 = 23/16

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