Add the fractions and simplify the answers. a. \( \frac{2}{6} \) \( +\frac{2}{6} \) b. C. \( \frac{1}{4} \) d. \( \frac{1}{8} \) \( +\frac{2}{8} \) \( +\frac{1}{4} \) \( \begin{array}{r}1 \\ +8 \\ \hline\end{array} \) e. \( \begin{array}{r}\frac{1}{9} \\ +\frac{2}{9} \\ \hline\end{array} \) f. \( \frac{5}{12} \) g. \( \frac{5}{10} \) h. \( \frac{1}{8} \) i. \( \frac{1}{6} \) j. \( \frac{3}{10} \) \( \begin{array}{r}+\frac{1}{6} \\ \hline\end{array} \) \( \begin{array}{r}\frac{2}{10} \\ \hline\end{array} \) k. \( \frac{1}{12} \) \( \begin{array}{r}\frac{2}{12} \\ \hline\end{array} \) 1. \( \frac{3}{9} \) m. \( \frac{5}{10} \) ก. \( \frac{2}{6} \) \( \begin{array}{r}\frac{3}{10} \\ \hline\end{array} \) \( \begin{array}{r}1 \\ +6 \\ \hline\end{array} \) -. \( \frac{5}{8} \) \( +\frac{1}{8} \) . \( \frac{1}{9} \) q. \( \frac{3}{12} \) \( \begin{array}{r}\frac{5}{9} \\ \hline\end{array} \) r. \( \frac{4}{10} \) s. \( \frac{2}{8} \) t. \( \frac{6}{12} \) \( \begin{array}{r}1 \\ +\frac{1}{12} \\ \hline\end{array} \) \( \begin{array}{r}\frac{2}{10} \\ \hline\end{array} \) \( \begin{array}{r}\frac{2}{8} \\ \hline\end{array} \) \( \begin{array}{r}\frac{3}{12} \\ \hline\end{array} \) Super Teacher Worksheets - www.superteacherworksheets.com

Calculate the value by following steps: - step0: Calculate: \(\frac{5}{12}\) Calculate or simplify the expression \( 1/4 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{4}\) Calculate or simplify the expression \( 1/6 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{6}\) Calculate or simplify the expression \( 3/9 \). Calculate the value by following steps: - step0: Calculate: \(\frac{3}{9}\) - step1: Reduce the fraction: \(\frac{1}{3}\) Calculate or simplify the expression \( 5/10 \). Calculate the value by following steps: - step0: Calculate: \(\frac{5}{10}\) - step1: Reduce the fraction: \(\frac{1}{2}\) Calculate or simplify the expression \( 5/10 \). Calculate the value by following steps: - step0: Calculate: \(\frac{5}{10}\) - step1: Reduce the fraction: \(\frac{1}{2}\) Calculate or simplify the expression \( 1/8 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{8}\) Calculate or simplify the expression \( 1/9 + 2/9 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{9}+\frac{2}{9}\) - step1: Transform the expression: \(\frac{1+2}{9}\) - step2: Add the numbers: \(\frac{3}{9}\) - step3: Reduce the fraction: \(\frac{1}{3}\) Calculate or simplify the expression \( 1/12 + 2/12 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{12}+\frac{2}{12}\) - step1: Transform the expression: \(\frac{1+2}{12}\) - step2: Add the numbers: \(\frac{3}{12}\) - step3: Reduce the fraction: \(\frac{1}{4}\) Calculate or simplify the expression \( 2/6 + 2/6 \). Calculate the value by following steps: - step0: Calculate: \(\frac{2}{6}+\frac{2}{6}\) - step1: Reduce the fraction: \(\frac{1}{3}+\frac{2}{6}\) - step2: Reduce the fraction: \(\frac{1}{3}+\frac{1}{3}\) - step3: Transform the expression: \(\frac{1+1}{3}\) - step4: Add the numbers: \(\frac{2}{3}\) Calculate or simplify the expression \( 3/10 + 1/6 \). Calculate the value by following steps: - step0: Calculate: \(\frac{3}{10}+\frac{1}{6}\) - step1: Reduce fractions to a common denominator: \(\frac{3\times 3}{10\times 3}+\frac{5}{6\times 5}\) - step2: Multiply the numbers: \(\frac{3\times 3}{30}+\frac{5}{6\times 5}\) - step3: Multiply the numbers: \(\frac{3\times 3}{30}+\frac{5}{30}\) - step4: Transform the expression: \(\frac{3\times 3+5}{30}\) - step5: Multiply the numbers: \(\frac{9+5}{30}\) - step6: Add the numbers: \(\frac{14}{30}\) - step7: Reduce the fraction: \(\frac{7}{15}\) Calculate or simplify the expression \( 1/8 + 2/8 + 1/4 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{8}+\frac{2}{8}+\frac{1}{4}\) - step1: Reduce the fraction: \(\frac{1}{8}+\frac{1}{4}+\frac{1}{4}\) - step2: Reduce fractions to a common denominator: \(\frac{1}{8}+\frac{2}{4\times 2}+\frac{2}{4\times 2}\) - step3: Multiply the numbers: \(\frac{1}{8}+\frac{2}{8}+\frac{2}{4\times 2}\) - step4: Multiply the numbers: \(\frac{1}{8}+\frac{2}{8}+\frac{2}{8}\) - step5: Transform the expression: \(\frac{1+2+2}{8}\) - step6: Add the numbers: \(\frac{5}{8}\) Let's solve the fractions step by step and simplify the answers. ### a. \[ \frac{2}{6} + \frac{2}{6} = \frac{4}{6} = \frac{2}{3} \] ### b. \[ \frac{1}{4} \text{ (already simplified)} \] ### c. \[ \frac{1}{8} + \frac{2}{8} + \frac{1}{4} = \frac{1}{8} + \frac{2}{8} + \frac{2}{8} = \frac{5}{8} \] ### d. \[ \frac{1}{9} + \frac{2}{9} = \frac{3}{9} = \frac{1}{3} \] ### e. \[ \frac{5}{12} \text{ (already simplified)} \] ### f. \[ \frac{5}{10} = \frac{1}{2} \] ### g. \[ \frac{1}{8} \text{ (already simplified)} \] ### h. \[ \frac{1}{6} \text{ (already simplified)} \] ### i. \[ \frac{3}{10} + \frac{1}{6} = \frac{9}{30} + \frac{5}{30} = \frac{14}{30} = \frac{7}{15} \] ### j. \[ \frac{1}{12} + \frac{2}{12} = \frac{3}{12} = \frac{1}{4} \] ### k. \[ \frac{3}{9} = \frac{1}{3} \] ### l. \[ \frac{5}{10} = \frac{1}{2} \] ### Summary of Results: - a. \( \frac{2}{3} \) - b. \( \frac{1}{4} \) - c. \( \frac{5}{8} \) - d. \( \frac{1}{3} \) - e. \( \frac{5}{12} \) - f. \( \frac{1}{2} \) - g. \( \frac{1}{8} \) - h. \( \frac{1}{6} \) - i. \( \frac{7}{15} \) - j. \( \frac{1}{4} \) - k. \( \frac{1}{3} \) - l. \( \frac{1}{2} \) All fractions have been simplified where applicable.