- Resuelvan los siguientes cálculos. 1) \( \frac{3}{4} \cdot 2-4\left(-\frac{1}{2}\right)-1,8= \) 2) \( 6,2-3,4:(-2)+\frac{3}{2}= \) 3) \( (1-0,7) 0,2+1,8: 2-1= \) 4) \( \frac{2}{5}: \frac{3}{2}+\frac{1}{3} \cdot \frac{3}{5}-1= \) 5) \( 0,7:(-2)+0,1(-0,1)+\frac{1}{4}= \) 6) \( 10:\left(\frac{1}{6}-\frac{1}{3}\right)+2(-1,4+0,2)= \) Ejercicio 2.3 - Escriban en forma decimal cada una de las siguientes fracciones. 1) \( \frac{17}{5}= \) 3) \( \frac{2}{45}= \) 5) \( \frac{38}{11}= \) 2) \( \frac{32}{3}= \) 4) \( \frac{11}{15}= \) 6) \( \frac{101}{330}= \) Ejercicio 2.4 - Escriban como fracción irreducible cada una de las siguientes expresiones decimales. 1) \( 0,8= \) 3) \( 3,15= \) 5) \( 2,52= \) 2) \( 2, \overline{5}= \) 4) \( 0, \sqrt{18}= \) 6) \( 5,24= \) Números reales 13 TRAMOA

Calculate the value by following steps: - step0: Calculate: \(\frac{38}{11}\) Calculate or simplify the expression \( (2/5)/(3/2)+(1/3)*(3/5)-1 \). Calculate the value by following steps: - step0: Calculate: \(\frac{\frac{2}{5}}{\frac{3}{2}}+\frac{1}{3}\times \frac{3}{5}-1\) - step1: Divide the terms: \(\frac{4}{15}+\frac{1}{3}\times \frac{3}{5}-1\) - step2: Multiply the numbers: \(\frac{4}{15}+\frac{1}{5}-1\) - step3: Reduce fractions to a common denominator: \(\frac{4}{15}+\frac{3}{5\times 3}-\frac{5\times 3}{5\times 3}\) - step4: Multiply the numbers: \(\frac{4}{15}+\frac{3}{15}-\frac{5\times 3}{5\times 3}\) - step5: Multiply the numbers: \(\frac{4}{15}+\frac{3}{15}-\frac{5\times 3}{15}\) - step6: Transform the expression: \(\frac{4+3-5\times 3}{15}\) - step7: Multiply the numbers: \(\frac{4+3-15}{15}\) - step8: Calculate: \(\frac{-8}{15}\) - step9: Rewrite the fraction: \(-\frac{8}{15}\) Calculate or simplify the expression \( 5.24 \). Numbers by following steps: - step0: Solution: \(5.24\) Calculate or simplify the expression \( 6.2-3.4/(-2)+(3/2) \). Calculate the value by following steps: - step0: Calculate: \(6.2-\frac{3.4}{\left(-2\right)}+\frac{3}{2}\) - step1: Remove the parentheses: \(6.2-\frac{3.4}{-2}+\frac{3}{2}\) - step2: Use the rules for multiplication and division: \(6.2+\frac{3.4}{2}+\frac{3}{2}\) - step3: Divide the terms: \(6.2+\frac{17}{10}+\frac{3}{2}\) - step4: Rewrite the expression: \(\frac{31}{5}+\frac{17}{10}+\frac{3}{2}\) - step5: Reduce fractions to a common denominator: \(\frac{31\times 2}{5\times 2}+\frac{17}{10}+\frac{3\times 5}{2\times 5}\) - step6: Multiply the numbers: \(\frac{31\times 2}{10}+\frac{17}{10}+\frac{3\times 5}{2\times 5}\) - step7: Multiply the numbers: \(\frac{31\times 2}{10}+\frac{17}{10}+\frac{3\times 5}{10}\) - step8: Transform the expression: \(\frac{31\times 2+17+3\times 5}{10}\) - step9: Multiply the numbers: \(\frac{62+17+3\times 5}{10}\) - step10: Multiply the numbers: \(\frac{62+17+15}{10}\) - step11: Add the numbers: \(\frac{94}{10}\) - step12: Reduce the fraction: \(\frac{47}{5}\) Calculate or simplify the expression \( (3/4)*2-4*(-1/2)-1.8 \). Calculate the value by following steps: - step0: Calculate: \(\frac{3}{4}\times 2-4\left(\frac{-1}{2}\right)-1.8\) - step1: Rewrite the fraction: \(\frac{3}{4}\times 2-4\left(-\frac{1}{2}\right)-1.8\) - step2: Multiply the numbers: \(\frac{3}{2}-4\left(-\frac{1}{2}\right)-1.8\) - step3: Multiply the numbers: \(\frac{3}{2}+2-1.8\) - step4: Subtract the numbers: \(\frac{3}{2}+0.2\) - step5: Convert the expressions: \(\frac{3}{2}+\frac{1}{5}\) - step6: Reduce fractions to a common denominator: \(\frac{3\times 5}{2\times 5}+\frac{2}{5\times 2}\) - step7: Multiply the numbers: \(\frac{3\times 5}{10}+\frac{2}{5\times 2}\) - step8: Multiply the numbers: \(\frac{3\times 5}{10}+\frac{2}{10}\) - step9: Transform the expression: \(\frac{3\times 5+2}{10}\) - step10: Multiply the numbers: \(\frac{15+2}{10}\) - step11: Add the numbers: \(\frac{17}{10}\) Calculate or simplify the expression \( 0.8 \). Numbers by following steps: - step0: Solution: \(0.8\) Calculate or simplify the expression \( 32/3 \). Calculate the value by following steps: - step0: Calculate: \(\frac{32}{3}\) Calculate or simplify the expression \( 11/15 \). Calculate the value by following steps: - step0: Calculate: \(\frac{11}{15}\) Calculate or simplify the expression \( 101/330 \). Calculate the value by following steps: - step0: Calculate: \(\frac{101}{330}\) Calculate or simplify the expression \( (1-0.7)*0.2+1.8/2-1 \). Calculate the value by following steps: - step0: Calculate: \(\left(1-0.7\right)\times 0.2+\frac{1.8}{2}-1\) - step1: Subtract the numbers: \(0.3\times 0.2+\frac{1.8}{2}-1\) - step2: Divide the terms: \(0.3\times 0.2+\frac{9}{10}-1\) - step3: Multiply the numbers: \(0.06+\frac{9}{10}-1\) - step4: Subtract the numbers: \(-0.94+\frac{9}{10}\) - step5: Convert the expressions: \(-\frac{47}{50}+\frac{9}{10}\) - step6: Reduce fractions to a common denominator: \(-\frac{47}{50}+\frac{9\times 5}{10\times 5}\) - step7: Multiply the numbers: \(-\frac{47}{50}+\frac{9\times 5}{50}\) - step8: Transform the expression: \(\frac{-47+9\times 5}{50}\) - step9: Multiply the numbers: \(\frac{-47+45}{50}\) - step10: Add the numbers: \(\frac{-2}{50}\) - step11: Reduce the fraction: \(\frac{-1}{25}\) - step12: Rewrite the fraction: \(-\frac{1}{25}\) Calculate or simplify the expression \( 10/((1/6)-(1/3))+2*(-1.4+0.2) \). Calculate the value by following steps: - step0: Calculate: \(\frac{10}{\left(\frac{1}{6}-\frac{1}{3}\right)}+2\left(-1.4+0.2\right)\) - step1: Remove the parentheses: \(\frac{10}{\frac{1}{6}-\frac{1}{3}}+2\left(-1.4+0.2\right)\) - step2: Add the numbers: \(\frac{10}{\frac{1}{6}-\frac{1}{3}}+2\left(-1.2\right)\) - step3: Subtract the numbers: \(\frac{10}{-\frac{1}{6}}+2\left(-1.2\right)\) - step4: Divide the terms: \(-60+2\left(-1.2\right)\) - step5: Multiply the numbers: \(-60-2.4\) - step6: Subtract the numbers: \(-62.4\) Calculate or simplify the expression \( 2.52 \). Numbers by following steps: - step0: Solution: \(2.52\) Calculate or simplify the expression \( 0.7/(-2)+0.1*(-0.1)+(1/4) \). Calculate the value by following steps: - step0: Calculate: \(\frac{0.7}{\left(-2\right)}+0.1\left(-0.1\right)+\frac{1}{4}\) - step1: Remove the parentheses: \(\frac{0.7}{-2}+0.1\left(-0.1\right)+\frac{1}{4}\) - step2: Divide the terms: \(-\frac{7}{20}+0.1\left(-0.1\right)+\frac{1}{4}\) - step3: Multiply the numbers: \(-\frac{7}{20}-0.01+\frac{1}{4}\) - step4: Rewrite the expression: \(-\frac{7}{20}-\frac{1}{100}+\frac{1}{4}\) - step5: Reduce fractions to a common denominator: \(-\frac{7\times 5}{20\times 5}-\frac{1}{100}+\frac{25}{4\times 25}\) - step6: Multiply the numbers: \(-\frac{7\times 5}{100}-\frac{1}{100}+\frac{25}{4\times 25}\) - step7: Multiply the numbers: \(-\frac{7\times 5}{100}-\frac{1}{100}+\frac{25}{100}\) - step8: Transform the expression: \(\frac{-7\times 5-1+25}{100}\) - step9: Multiply the numbers: \(\frac{-35-1+25}{100}\) - step10: Calculate: \(\frac{-11}{100}\) - step11: Rewrite the fraction: \(-\frac{11}{100}\) Calculate or simplify the expression \( 3.15 \). Numbers by following steps: - step0: Solution: \(3.15\) Calculate or simplify the expression \( 2.5 \). Numbers by following steps: - step0: Solution: \(2.5\) Calculate or simplify the expression \( 0.5*\sqrt(18) \). Calculate the value by following steps: - step0: Calculate: \(0.5\sqrt{18}\) - step1: Simplify the root: \(0.5\times 3\sqrt{2}\) - step2: Multiply the terms: \(1.5\sqrt{2}\) - step3: Simplify: \(2.12132\) Calculate or simplify the expression \( 17/5 \). Calculate the value by following steps: - step0: Calculate: \(\frac{17}{5}\) Calculate or simplify the expression \( 2/45 \). Calculate the value by following steps: - step0: Calculate: \(\frac{2}{45}\) Aquí están los resultados de los cálculos solicitados: ### Ejercicio 1: Cálculos 1) \( \frac{3}{4} \cdot 2 - 4\left(-\frac{1}{2}\right) - 1.8 = 1.7 \) 2) \( 6.2 - 3.4 : (-2) + \frac{3}{2} = 9.4 \) 3) \( (1 - 0.7) \cdot 0.2 + 1.8 : 2 - 1 = -0.04 \) 4) \( \frac{2}{5} : \frac{3}{2} + \frac{1}{3} \cdot \frac{3}{5} - 1 = -0.5\dot{3} \) 5) \( 0.7 : (-2) + 0.1 \cdot (-0.1) + \frac{1}{4} = -0.11 \) 6) \( 10 : \left(\frac{1}{6} - \frac{1}{3}\right) + 2(-1.4 + 0.2) = -62.4 \) ### Ejercicio 2.3: Conversión de fracciones a decimales 1) \( \frac{17}{5} = 3.4 \) 2) \( \frac{32}{3} = 10.\dot{6} \) 3) \( \frac{2}{45} = 0.0\dot{4} \) 4) \( \frac{11}{15} = 0.7\dot{3} \) 5) \( \frac{38}{11} = 3.\dot{4}\dot{5} \) 6) \( \frac{101}{330} = 0.3\dot{0}\dot{6} \) ### Ejercicio 2.4: Conversión de decimales a fracciones irreducibles 1) \( 0.8 = \frac{4}{5} \) 2) \( 2, \overline{5} = \frac{5}{2} \) 3) \( 3.15 = \frac{63}{20} \) 4) \( 2.52 = \frac{63}{25} \) 5) \( 0, \sqrt{18} = 2.12132 \) (no es una fracción exacta) 6) \( 5.24 = \frac{131}{25} \) Si necesitas más ayuda o aclaraciones, ¡no dudes en preguntar!