Darren has a wooden board that is Three-fifths of a meter long. He cuts the board into 3 equal parts. How long is each section of board?

A model has 3 shaded parts and 2 unshaded parts.
One-fifth m
Two-fifths m
Three-fifths m
Four-fifths m

1 answer

To find the length of each section of the board after Darren cuts it into 3 equal parts, we start by dividing the total length of the board by the number of sections:

  1. The total length of the board is \( \frac{3}{5} \) meters.
  2. He cuts the board into 3 equal parts, so we divide \( \frac{3}{5} \) by 3:

\[ \frac{3}{5} \div 3 = \frac{3}{5} \times \frac{1}{3} = \frac{3 \times 1}{5 \times 3} = \frac{3}{15} \]

  1. We can simplify \( \frac{3}{15} \):

\[ \frac{3}{15} = \frac{1}{5} \]

Therefore, each section of the board is \( \frac{1}{5} \) meters long.

The answer is: One-fifth m.