Question

brooke painted a picture of the pond near her house. first, she mixed \\(\frac{4}{10}\\) of a liter of blue paint with \\(\frac{1}{10}\\) of a liter of white paint to make the perfect shade of light blue. then, she used \\(\frac{2}{10}\\) of a liter of this light blue paint to paint the pond. she used the rest of the light blue paint to paint the sky in the picture. how much light blue paint did brooke use to paint the sky?

Explanation:

Step1: Calculate total light blue paint

To find the total amount of light blue paint, we add the blue paint and white paint. The blue paint is $\frac{4}{10}$ liter and white paint is $\frac{1}{10}$ liter. So, total light blue paint is $\frac{4}{10}+\frac{1}{10}=\frac{4 + 1}{10}=\frac{5}{10}$ liters.

Step2: Subtract paint used for pond

She used $\frac{2}{10}$ liter for the pond. To find the paint used for the sky, we subtract the paint used for the pond from the total light blue paint. So, $\frac{5}{10}-\frac{2}{10}=\frac{5-2}{10}=\frac{3}{10}$ liters.

Answer:

$\frac{3}{10}$