Janet has 4/9 gallon of paint. She uses 1/8 of she has to cover 3 canvases. She uses the same amount of paint for each canvas. What amount of paint does Janet use to cover each canvas?

Respuesta :

Answer:

[tex]\frac{1}{24}[/tex] gallon.

Step-by-step explanation:

We have been given that Janet has 4/9 gallon of paint. She uses 1/8 of she has to cover 3 canvases.

Let us find amount of paint used for 3 canvases by calculating 1/8 of 4/9 as:

[tex]\text{Amount of paint used for 3 canvases}=\frac{4}{9}\times \frac{1}{8}[/tex]

[tex]\text{Amount of paint used for 3 canvases}=\frac{1}{9}\times \frac{1}{2}[/tex]

[tex]\text{Amount of paint used for 3 canvases}=\frac{1}{18}[/tex]

We are also told that Janet uses the same amount of paint for each canvas. To find the amount of paint used to cover each paint, we will divide 1/18 by 3 as:

[tex]\text{Amount of paint used for each canvas}=\frac{\frac{1}{18}}{3}[/tex]

Applying fraction rule [tex]\frac{\frac{a}{b}}{c}=\frac{a}{bc}[/tex], we will get:

[tex]\text{Amount of paint used for each canvas}=\frac{1}{18\times 3}[/tex]

[tex]\text{Amount of paint used for each canvas}=\frac{1}{24}[/tex]

Therefore, Janet uses [tex]\frac{1}{24}[/tex] gallon of paint to cover each canvas.

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