Two-fifths of the photographs are black and white. The rest of the photographs are color. What is the ratio of black and white to color photographs?

Given that \(\frac{2}{5}\) of the photographs are black and white, the remaining photographs are color. 1. Calculate the fraction that are color: \[ \text{Fraction of color photographs} = 1 - \frac{2}{5} = \frac{5}{5} - \frac{2}{5} = \frac{3}{5}. \] 2. The ratio of black and white to color photographs is: \[ \frac{\frac{2}{5}}{\frac{3}{5}} = \frac{2}{5} \times \frac{5}{3} = \frac{2}{3}. \] Thus, the ratio of black and white to color photographs is \(\frac{2}{3}\), or equivalently, \(2:3\).