A wire of length 12 1/2m is cut into 10 pieces of equal length. Find the length of each piece.

12.5 / 10 = ______ m

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To find the length of each piece, we need to divide the total length of the wire by the number of pieces it is cut into.

First, let's convert the mixed number 12 1/2 to an improper fraction. To do this, multiply the whole number (12) by the denominator (2), then add the numerator (1) to get the new numerator. The denominator remains the same.

12 * 2 + 1 = 24 + 1 = 25

So, 12 1/2 is equal to 25/2.

Now, we can divide the length of the wire (25/2) by the number of pieces (10) to find the length of each piece.

(25/2) ÷ 10

To divide fractions, we multiply the numerator of the first fraction by the reciprocal of the second fraction.

(25/2) * (1/10) = 25/20

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 5.

25 ÷ 5 = 5
20 ÷ 5 = 4

So, the length of each piece is 5/4 meters, or 1 1/4 meters, or 1.25 meters.