Add. Write your answer as a fraction or as a whole or mixed number. 8(2)/(4)+4(3)/(4)=

To add the mixed numbers \(8 \frac{2}{4}\) and \(4 \frac{3}{4}\), follow these steps:<br /><br />1. **Convert the fractions to their simplest form:**<br /><br /> - The fraction \(\frac{2}{4}\) simplifies to \(\frac{1}{2}\).<br /><br /> So, \(8 \frac{2}{4}\) becomes \(8 \frac{1}{2}\).<br /><br />2. **Add the whole numbers and fractions separately:**<br /><br /> - Whole numbers: \(8 + 4 = 12\)<br /> - Fractions: \(\frac{1}{2} + \frac{3}{4}\)<br /><br />3. **Find a common denominator for the fractions:**<br /><br /> - The denominators are 2 and 4. The least common denominator is 4.<br /><br /> Convert \(\frac{1}{2}\) to a fraction with a denominator of 4:<br /> \[<br /> \frac{1}{2} = \frac{2}{4}<br /> \]<br /><br />4. **Add the fractions:**<br /><br /> \[<br /> \frac{2}{4} + \frac{3}{4} = \frac{5}{4}<br /> \]<br /><br />5. **Combine the whole number and the fraction:**<br /><br /> - Since \(\frac{5}{4}\) is an improper fraction, convert it to a mixed number:<br /> \[<br /> \frac{5}{4} = 1 \frac{1}{4}<br /> \]<br /><br /> - Add this to the whole number part:<br /> \[<br /> 12 + 1 \frac{1}{4} = 13 \frac{1}{4}<br /> \]<br /><br />Thus, the sum is \(13 \frac{1}{4}\).