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11. Students are painting a mural. So far, the mural is painted \( \frac{4}{12} \) blue, \( \frac{2}{12} \) red, and \( \frac{3}{12} \) green. Write and solve an equation to find \( m \), how much of the mural has been painted.

Ask by Daniel Bradley. in the United States
Jan 30,2025

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Answer

\( \frac{3}{4} \) of the mural has been painted.

Solution

To determine how much of the mural has been painted so far, we'll add up the fractions of each color that have been applied. **Given:** - Blue: \( \frac{4}{12} \) - Red: \( \frac{2}{12} \) - Green: \( \frac{3}{12} \) **Let \( m \) represent the total portion of the mural that has been painted.** ### Step 1: Write the Equation \[ m = \frac{4}{12} + \frac{2}{12} + \frac{3}{12} \] ### Step 2: Add the Fractions Since all fractions have the same denominator, you can add the numerators directly: \[ m = \frac{4 + 2 + 3}{12} \] \[ m = \frac{9}{12} \] ### Step 3: Simplify the Fraction \[ m = \frac{9}{12} = \frac{3 \times 3}{3 \times 4} = \frac{3}{4} \] ### Conclusion \[ m = \frac{3}{4} \] **Therefore, \( \frac{3}{4} \) of the mural has been painted so far.**

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To find out how much of the mural has been painted, we need to sum all the painted fractions. The equation would look like this: \[ m = \frac{4}{12} + \frac{2}{12} + \frac{3}{12} \] Calculating this, we get: \[ m = \frac{4 + 2 + 3}{12} = \frac{9}{12} = \frac{3}{4} \] So, \( \frac{3}{4} \) of the mural has been painted! Did you know that murals have a fascinating history? They date back thousands of years, with some of the earliest examples seen in ancient cave paintings. These artistic expressions were more than just decoration; they often conveyed stories, beliefs, and cultural identities. Modern murals continue this tradition, often serving as a vibrant form of social commentary in public spaces! If you're thinking of painting a mural yourself, make sure to plan ahead! One common mistake is not preparing the surface properly or using paint that's not suited for outdoor use. Always check the weather, and remember that the right primer can make or break your mural's longevity. And definitely involve the community—it’s way more fun that way!

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