It took Emma 3/5 hours to paint 1/4 of her painting. How many hours will it take her to finish the painting in total? ◢ Label the tape diagram with the value of the unknown. frac 3 hour

Determine the number of sections that represent the whole painting. Since $$\frac{1}{4}$$$$\frac{1}{4}$$ of the painting is represented by one section, the whole painting will be represented by 4 sections.

Calculate the time it takes to paint one section. Since $$\frac{3}{5}$$$$\frac{3}{5}$$ hour is the time it takes to paint $$\frac{1}{4}$$$$\frac{1}{4}$$ of the painting, the time it takes to paint one section is $$\frac{3}{5}$$$$\frac{3}{5}$$ hour.

Calculate the total time it takes to paint the whole painting. Since the whole painting is represented by 4 sections, the total time is $$4 \times \frac{3}{5}$$$$4\times \frac{3}{5}$$ hour.

Simplify the expression. $$4 \times \frac{3}{5}$$$$4\times \frac{3}{5}$$ hour = $$\frac{12}{5}$$$$\frac{12}{5}$$ hour.