a piece of wire 27/32 inch in length is cut into 3 equal peices how long is each peice (math)

Divide the numerator (27) by 3.

That wil be the number of one-thirty-second-inches in each piece.

Write that as a fraction. The denominator stays the same.

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.

Given that the wire is 27/32 inch in length and it is cut into 3 equal pieces, we can calculate the length of each piece as follows:

Length of each piece = Total length ÷ Number of pieces

Substituting the given values:

Length of each piece = (27/32) ÷ 3

To divide a fraction by a number, we can multiply the fraction by the reciprocal of the number.

Therefore, we can rewrite the division as:

Length of each piece = (27/32) × (1/3)

Now, we multiply the numerators (27 × 1) and denominators (32 × 3) separately:

Length of each piece = (27 × 1) / (32 × 3)

Simplifying the numerator and denominator:

Length of each piece = 27 / 96

This fraction cannot be simplified any further, so the length of each piece is 27/96 inch.