1. Simplify: \( \begin{array}{lll}\text { a) } \frac{2}{4}+\frac{1}{4} & \text { (b) } \frac{2}{5}+\frac{2}{5} & \text { c) } \frac{1}{8}+\frac{4}{8}+\frac{2}{8} \\ \text { 2. Calculate: } & \text { b) } 1-\frac{3}{5} & \text { c) } 1-\frac{4}{6} \\ \text { a) } 1-\frac{1}{2} & \text { b) } \frac{2}{5}+\frac{1}{2} & \text { c) } \frac{1}{2}-\frac{1}{3} \\ \text { 3. Simplify: } & \text { e) } \frac{2}{4}+\frac{2}{3} & \text { f) } \frac{1}{3}-\frac{2}{8} \\ \text { a) } \frac{1}{5}+\frac{3}{4} & & \end{array} \)

Calculate the value by following steps: - step0: Calculate: \(\frac{1}{5}+\frac{3}{4}\) - step1: Reduce fractions to a common denominator: \(\frac{4}{5\times 4}+\frac{3\times 5}{4\times 5}\) - step2: Multiply the numbers: \(\frac{4}{20}+\frac{3\times 5}{4\times 5}\) - step3: Multiply the numbers: \(\frac{4}{20}+\frac{3\times 5}{20}\) - step4: Transform the expression: \(\frac{4+3\times 5}{20}\) - step5: Multiply the numbers: \(\frac{4+15}{20}\) - step6: Add the numbers: \(\frac{19}{20}\) Calculate or simplify the expression \( 1 - 1/2 \). Calculate the value by following steps: - step0: Calculate: \(1-\frac{1}{2}\) - step1: Reduce fractions to a common denominator: \(\frac{2}{2}-\frac{1}{2}\) - step2: Transform the expression: \(\frac{2-1}{2}\) - step3: Subtract the numbers: \(\frac{1}{2}\) Calculate or simplify the expression \( 2/4 + 1/4 \). Calculate the value by following steps: - step0: Calculate: \(\frac{2}{4}+\frac{1}{4}\) - step1: Transform the expression: \(\frac{2+1}{4}\) - step2: Add the numbers: \(\frac{3}{4}\) Calculate or simplify the expression \( 1/8 + 4/8 + 2/8 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{8}+\frac{4}{8}+\frac{2}{8}\) - step1: Transform the expression: \(\frac{1+4+2}{8}\) - step2: Add the numbers: \(\frac{7}{8}\) Calculate or simplify the expression \( 2/5 + 2/5 \). Calculate the value by following steps: - step0: Calculate: \(\frac{2}{5}+\frac{2}{5}\) - step1: Transform the expression: \(\frac{2+2}{5}\) - step2: Add the numbers: \(\frac{4}{5}\) Calculate or simplify the expression \( 1 - 3/5 \). Calculate the value by following steps: - step0: Calculate: \(1-\frac{3}{5}\) - step1: Reduce fractions to a common denominator: \(\frac{5}{5}-\frac{3}{5}\) - step2: Transform the expression: \(\frac{5-3}{5}\) - step3: Subtract the numbers: \(\frac{2}{5}\) Calculate or simplify the expression \( 1/2 - 1/3 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{2}-\frac{1}{3}\) - step1: Reduce fractions to a common denominator: \(\frac{3}{2\times 3}-\frac{2}{3\times 2}\) - step2: Multiply the numbers: \(\frac{3}{6}-\frac{2}{3\times 2}\) - step3: Multiply the numbers: \(\frac{3}{6}-\frac{2}{6}\) - step4: Transform the expression: \(\frac{3-2}{6}\) - step5: Subtract the numbers: \(\frac{1}{6}\) Calculate or simplify the expression \( 2/5 + 1/2 \). Calculate the value by following steps: - step0: Calculate: \(\frac{2}{5}+\frac{1}{2}\) - step1: Reduce fractions to a common denominator: \(\frac{2\times 2}{5\times 2}+\frac{5}{2\times 5}\) - step2: Multiply the numbers: \(\frac{2\times 2}{10}+\frac{5}{2\times 5}\) - step3: Multiply the numbers: \(\frac{2\times 2}{10}+\frac{5}{10}\) - step4: Transform the expression: \(\frac{2\times 2+5}{10}\) - step5: Multiply the numbers: \(\frac{4+5}{10}\) - step6: Add the numbers: \(\frac{9}{10}\) Calculate or simplify the expression \( 1 - 4/6 \). Calculate the value by following steps: - step0: Calculate: \(1-\frac{4}{6}\) - step1: Reduce the fraction: \(1-\frac{2}{3}\) - step2: Reduce fractions to a common denominator: \(\frac{3}{3}-\frac{2}{3}\) - step3: Transform the expression: \(\frac{3-2}{3}\) - step4: Subtract the numbers: \(\frac{1}{3}\) Calculate or simplify the expression \( 2/4 + 2/3 \). Calculate the value by following steps: - step0: Calculate: \(\frac{2}{4}+\frac{2}{3}\) - step1: Reduce the fraction: \(\frac{1}{2}+\frac{2}{3}\) - step2: Reduce fractions to a common denominator: \(\frac{3}{2\times 3}+\frac{2\times 2}{3\times 2}\) - step3: Multiply the numbers: \(\frac{3}{6}+\frac{2\times 2}{3\times 2}\) - step4: Multiply the numbers: \(\frac{3}{6}+\frac{2\times 2}{6}\) - step5: Transform the expression: \(\frac{3+2\times 2}{6}\) - step6: Multiply the numbers: \(\frac{3+4}{6}\) - step7: Add the numbers: \(\frac{7}{6}\) Calculate or simplify the expression \( 1/3 - 2/8 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{3}-\frac{2}{8}\) - step1: Reduce the fraction: \(\frac{1}{3}-\frac{1}{4}\) - step2: Reduce fractions to a common denominator: \(\frac{4}{3\times 4}-\frac{3}{4\times 3}\) - step3: Multiply the numbers: \(\frac{4}{12}-\frac{3}{4\times 3}\) - step4: Multiply the numbers: \(\frac{4}{12}-\frac{3}{12}\) - step5: Transform the expression: \(\frac{4-3}{12}\) - step6: Subtract the numbers: \(\frac{1}{12}\) Here are the simplified results for each of the calculations: ### 1. Simplify: - **a)** \( \frac{2}{4} + \frac{1}{4} = \frac{3}{4} \) - **b)** \( \frac{2}{5} + \frac{2}{5} = \frac{4}{5} \) - **c)** \( \frac{1}{8} + \frac{4}{8} + \frac{2}{8} = \frac{7}{8} \) ### 2. Calculate: - **a)** \( 1 - \frac{1}{2} = \frac{1}{2} \) - **b)** \( 1 - \frac{3}{5} = \frac{2}{5} \) - **c)** \( 1 - \frac{4}{6} = \frac{1}{3} \) ### 3. Simplify: - **a)** \( \frac{1}{5} + \frac{3}{4} = \frac{19}{20} \) - **e)** \( \frac{2}{4} + \frac{2}{3} = \frac{7}{6} \) (or \( 1 \frac{1}{6} \)) - **f)** \( \frac{1}{3} - \frac{2}{8} = \frac{1}{12} \) If you have any further questions or need additional calculations, feel free to ask!