Question

tallulah plans to repaint some classroom bookcases. all of the bookcases are the same size and each requires \\(\frac{3}{5}\\) gallon of paint. if she’s going to paint 13 bookcases, how many gallons of paint does she need? express your answer as a fraction or mixed number in simplest form.

Explanation:

Step1: Identify the operation

To find the total paint needed for 13 bookcases, we multiply the paint per bookcase ($\frac{3}{5}$ gallon) by the number of bookcases (13). So the operation is $\frac{3}{5} \times 13$.

Step2: Perform the multiplication

Multiply the numerator 3 by 13: $3\times13 = 39$. The denominator remains 5. So we get $\frac{39}{5}$.

Step3: Convert to mixed number (optional, but as a check)

Divide 39 by 5: $5\times7 = 35$, with a remainder of $39 - 35 = 4$. So $\frac{39}{5}$ as a mixed number is $7\frac{4}{5}$.

Answer:

$\frac{39}{5}$ (or $7\frac{4}{5}$)