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Edwin has 3123 \frac{1}{2} gallons of green paint. He uses 23\frac{2}{3} of the paint to paint his bedroom. He uses the rest of the paint for a mural in his garage. How much paint does Edwin use for the mural?\newlineWrite your answer as a whole number, fractions" target="_blank" class="backlink">fraction, or mixed number. Simplify any fractions.\newline____ gallons

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Q. Edwin has 3123 \frac{1}{2} gallons of green paint. He uses 23\frac{2}{3} of the paint to paint his bedroom. He uses the rest of the paint for a mural in his garage. How much paint does Edwin use for the mural?\newlineWrite your answer as a whole number, fraction, or mixed number. Simplify any fractions.\newline____ gallons
  1. Convert to Improper Fraction: Convert 3123 \frac{1}{2} to an improper fraction.\newline312=(3×2+1)/2=72.3 \frac{1}{2} = (3 \times 2 + 1)/2 = \frac{7}{2}.
  2. Calculate Paint Usage: Calculate the amount of paint used for the bedroom.\newline(23)×(72)=2×73×2=146=73(\frac{2}{3}) \times (\frac{7}{2}) = \frac{2 \times 7}{3 \times 2} = \frac{14}{6} = \frac{7}{3}.
  3. Calculate Remaining Paint: Calculate the remaining paint for the mural.\newline72−73=21−146=76\frac{7}{2} - \frac{7}{3} = \frac{21 - 14}{6} = \frac{7}{6}.
  4. Simplify Final Fraction: Simplify the fraction for the final answer. 76\frac{7}{6} is already in its simplest form.

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