6. Simplify the following fractions: 6.1. \( \frac{6}{8}= \) \( \qquad \) 3.6. \( \frac{3}{6}= \) \( \qquad \) 3.6. \( \frac{12}{28}= \) 6.2. \( \frac{8}{10}= \) \( \qquad \) 3.7. \( \frac{7}{21}= \) \( \qquad \) 3.6. \( 2 \frac{5}{25}= \) 6.3. \( \frac{5}{45}= \) \( \qquad \) 3.8. \( \frac{7}{1}= \) \( \qquad \) 3.6. \( 12 \frac{24}{36} \) 8 \( \underline{9}= \) 3.6. \( \quad 6 \frac{12}{2}= \)

Calculate the value by following steps: - step0: Calculate: \(\frac{5}{45}\) - step1: Reduce the fraction: \(\frac{1}{9}\) Calculate or simplify the expression \( 7/21 \). Calculate the value by following steps: - step0: Calculate: \(\frac{7}{21}\) - step1: Reduce the fraction: \(\frac{1}{3}\) Calculate or simplify the expression \( 12/2 \). Calculate the value by following steps: - step0: Calculate: \(\frac{12}{2}\) - step1: Reduce the numbers: \(\frac{6}{1}\) - step2: Calculate: \(6\) Calculate or simplify the expression \( 7/1 \). Calculate the value by following steps: - step0: Calculate: \(\frac{7}{1}\) - step1: Divide the terms: \(7\) Calculate or simplify the expression \( 3/6 \). Calculate the value by following steps: - step0: Calculate: \(\frac{3}{6}\) - step1: Reduce the fraction: \(\frac{1}{2}\) Calculate or simplify the expression \( 6/8 \). Calculate the value by following steps: - step0: Calculate: \(\frac{6}{8}\) - step1: Reduce the fraction: \(\frac{3}{4}\) Calculate or simplify the expression \( 24/36 \). Calculate the value by following steps: - step0: Calculate: \(\frac{24}{36}\) - step1: Reduce the fraction: \(\frac{2}{3}\) Calculate or simplify the expression \( 5/25 \). Calculate the value by following steps: - step0: Calculate: \(\frac{5}{25}\) - step1: Reduce the fraction: \(\frac{1}{5}\) Calculate or simplify the expression \( 8/10 \). Calculate the value by following steps: - step0: Calculate: \(\frac{8}{10}\) - step1: Reduce the fraction: \(\frac{4}{5}\) Calculate or simplify the expression \( 12/28 \). Calculate the value by following steps: - step0: Calculate: \(\frac{12}{28}\) - step1: Reduce the fraction: \(\frac{3}{7}\) Let's simplify the given fractions step by step: ### 6.1. Simplifying \( \frac{6}{8} \) To simplify \( \frac{6}{8} \): - The greatest common divisor (GCD) of 6 and 8 is 2. - Divide both the numerator and the denominator by 2: \[ \frac{6 \div 2}{8 \div 2} = \frac{3}{4} \] ### 6.2. Simplifying \( \frac{3}{6} \) To simplify \( \frac{3}{6} \): - The GCD of 3 and 6 is 3. - Divide both by 3: \[ \frac{3 \div 3}{6 \div 3} = \frac{1}{2} \] ### 6.3. Simplifying \( \frac{12}{28} \) To simplify \( \frac{12}{28} \): - The GCD of 12 and 28 is 4. - Divide both by 4: \[ \frac{12 \div 4}{28 \div 4} = \frac{3}{7} \] ### 6.4. Simplifying \( \frac{8}{10} \) To simplify \( \frac{8}{10} \): - The GCD of 8 and 10 is 2. - Divide both by 2: \[ \frac{8 \div 2}{10 \div 2} = \frac{4}{5} \] ### 6.5. Simplifying \( \frac{7}{21} \) To simplify \( \frac{7}{21} \): - The GCD of 7 and 21 is 7. - Divide both by 7: \[ \frac{7 \div 7}{21 \div 7} = \frac{1}{3} \] ### 6.6. Simplifying \( 2 \frac{5}{25} \) To simplify \( 2 \frac{5}{25} \): - First, simplify \( \frac{5}{25} \): - The GCD of 5 and 25 is 5. - Divide both by 5: \[ \frac{5 \div 5}{25 \div 5} = \frac{1}{5} \] - Thus, \( 2 \frac{5}{25} = 2 \frac{1}{5} \). ### 6.7. Simplifying \( \frac{5}{45} \) To simplify \( \frac{5}{45} \): - The GCD of 5 and 45 is 5. - Divide both by 5: \[ \frac{5 \div 5}{45 \div 5} = \frac{1}{9} \] ### 6.8. Simplifying \( \frac{7}{1} \) To simplify \( \frac{7}{1} \): - This fraction is already in its simplest form: \[ \frac{7}{1} = 7 \] ### 6.9. Simplifying \( 12 \frac{24}{36} \) To simplify \( 12 \frac{24}{36} \): - First, simplify \( \frac{24}{36} \): - The GCD of 24 and 36 is 12. - Divide both by 12: \[ \frac{24 \div 12}{36 \div 12} = \frac{2}{3} \] - Thus, \( 12 \frac{24}{36} = 12 \frac{2}{3} \). ### 6.10. Simplifying \( 6 \frac{12}{2} \) To simplify \( 6 \frac{12}{2} \): - First, simplify \( \frac{12}{2} \): \[ \frac{12 \div 12}{2 \div 12} = 6 \] - Thus, \( 6 \frac{12}{2} = 6 + 6 = 12 \). ### Summary of Results: - \( \frac{6}{8} = \frac{3}{4} \) - \( \frac{3}{6} = \frac{1}{2} \) - \( \frac{12}{28} = \frac{3}{7} \) - \( \frac{8}{10} = \frac{4}{5} \) - \( \frac{7}{21} = \frac{1}{3} \) - \( 2 \frac{5}{25} = 2 \frac{1}{5} \) - \( \frac{5}{45} = \frac{1}{9} \) - \( \frac{7}{1} = 7 \) - \( 12 \frac{24}{36} = 12 \frac{2}{3} \) - \( 6 \frac{12}{2} = 12 \)