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9) \( \frac{2}{9}+\frac{4}{3}+\frac{6}{27}= \) 10) \( \frac{3}{4}+\frac{2}{5}+\frac{4}{6}= \) fracció irreductible de fracions. 11) \( \frac{1}{2}+\frac{2}{4}+\frac{5}{10}= \) 12) \( \frac{24}{32}-\frac{5}{16}= \) 13) \( \frac{4}{5}-\frac{2}{6}= \) \( \frac{3}{7}+\frac{1}{8}= \) 14) 15) \( \frac{3}{3}-\frac{2}{8}= \) 140

Ask by Moran Chandler. in Andorra
Feb 19,2025

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Answer

Aquí están las soluciones simplificadas: 9) \( \frac{16}{9} \) o \( 1 \frac{7}{9} \) o \( 1.7\overline{7} \) 10) \( \frac{109}{60} \) o \( 1 \frac{49}{60} \) o \( 1.81\overline{6} \) 11) \( \frac{3}{2} \) o \( 1 \frac{1}{2} \) o \( 1.5 \) 12) \( \frac{7}{16} \) o \( 0.4375 \) 13) \( \frac{7}{15} \) o \( 0.4\overline{6} \) \( \frac{31}{56} \) o \( 0.553\overline{5}7142\overline{8} \) 15) \( \frac{3}{4} \) o \( 0.75 \)

Solution

Calculate the value by following steps: - step0: Calculate: \(\frac{3}{3}-\frac{2}{8}\) - step1: Divide the terms: \(1-\frac{2}{8}\) - step2: Reduce the fraction: \(1-\frac{1}{4}\) - step3: Reduce fractions to a common denominator: \(\frac{4}{4}-\frac{1}{4}\) - step4: Transform the expression: \(\frac{4-1}{4}\) - step5: Subtract the numbers: \(\frac{3}{4}\) Calculate or simplify the expression \( \frac{1}{2}+\frac{2}{4}+\frac{5}{10} \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{2}+\frac{2}{4}+\frac{5}{10}\) - step1: Reduce the fraction: \(\frac{1}{2}+\frac{1}{2}+\frac{5}{10}\) - step2: Reduce the fraction: \(\frac{1}{2}+\frac{1}{2}+\frac{1}{2}\) - step3: Write as a multiplication: \(\frac{1}{2}\times 3\) - step4: Multiply: \(\frac{3}{2}\) Calculate or simplify the expression \( \frac{4}{5}-\frac{2}{6} \). Calculate the value by following steps: - step0: Calculate: \(\frac{4}{5}-\frac{2}{6}\) - step1: Reduce the fraction: \(\frac{4}{5}-\frac{1}{3}\) - step2: Reduce fractions to a common denominator: \(\frac{4\times 3}{5\times 3}-\frac{5}{3\times 5}\) - step3: Multiply the numbers: \(\frac{4\times 3}{15}-\frac{5}{3\times 5}\) - step4: Multiply the numbers: \(\frac{4\times 3}{15}-\frac{5}{15}\) - step5: Transform the expression: \(\frac{4\times 3-5}{15}\) - step6: Multiply the numbers: \(\frac{12-5}{15}\) - step7: Subtract the numbers: \(\frac{7}{15}\) Calculate or simplify the expression \( \frac{24}{32}-\frac{5}{16} \). Calculate the value by following steps: - step0: Calculate: \(\frac{24}{32}-\frac{5}{16}\) - step1: Reduce the fraction: \(\frac{3}{4}-\frac{5}{16}\) - step2: Reduce fractions to a common denominator: \(\frac{3\times 4}{4\times 4}-\frac{5}{16}\) - step3: Multiply the numbers: \(\frac{3\times 4}{16}-\frac{5}{16}\) - step4: Transform the expression: \(\frac{3\times 4-5}{16}\) - step5: Multiply the numbers: \(\frac{12-5}{16}\) - step6: Subtract the numbers: \(\frac{7}{16}\) Calculate or simplify the expression \( \frac{2}{9}+\frac{4}{3}+\frac{6}{27} \). Calculate the value by following steps: - step0: Calculate: \(\frac{2}{9}+\frac{4}{3}+\frac{6}{27}\) - step1: Reduce the fraction: \(\frac{2}{9}+\frac{4}{3}+\frac{2}{9}\) - step2: Reduce fractions to a common denominator: \(\frac{2}{9}+\frac{4\times 3}{3\times 3}+\frac{2}{9}\) - step3: Multiply the numbers: \(\frac{2}{9}+\frac{4\times 3}{9}+\frac{2}{9}\) - step4: Transform the expression: \(\frac{2+4\times 3+2}{9}\) - step5: Multiply the numbers: \(\frac{2+12+2}{9}\) - step6: Add the numbers: \(\frac{16}{9}\) Calculate or simplify the expression \( \frac{3}{4}+\frac{2}{5}+\frac{4}{6} \). Calculate the value by following steps: - step0: Calculate: \(\frac{3}{4}+\frac{2}{5}+\frac{4}{6}\) - step1: Reduce the fraction: \(\frac{3}{4}+\frac{2}{5}+\frac{2}{3}\) - step2: Reduce fractions to a common denominator: \(\frac{3\times 5\times 3}{4\times 5\times 3}+\frac{2\times 4\times 3}{5\times 4\times 3}+\frac{2\times 4\times 5}{3\times 4\times 5}\) - step3: Multiply the terms: \(\frac{3\times 5\times 3}{60}+\frac{2\times 4\times 3}{5\times 4\times 3}+\frac{2\times 4\times 5}{3\times 4\times 5}\) - step4: Multiply the terms: \(\frac{3\times 5\times 3}{60}+\frac{2\times 4\times 3}{60}+\frac{2\times 4\times 5}{3\times 4\times 5}\) - step5: Multiply the terms: \(\frac{3\times 5\times 3}{60}+\frac{2\times 4\times 3}{60}+\frac{2\times 4\times 5}{60}\) - step6: Transform the expression: \(\frac{3\times 5\times 3+2\times 4\times 3+2\times 4\times 5}{60}\) - step7: Multiply the terms: \(\frac{45+2\times 4\times 3+2\times 4\times 5}{60}\) - step8: Multiply the terms: \(\frac{45+24+2\times 4\times 5}{60}\) - step9: Multiply the terms: \(\frac{45+24+40}{60}\) - step10: Add the numbers: \(\frac{109}{60}\) Calculate or simplify the expression \( \frac{3}{7}+\frac{1}{8} \). Calculate the value by following steps: - step0: Calculate: \(\frac{3}{7}+\frac{1}{8}\) - step1: Reduce fractions to a common denominator: \(\frac{3\times 8}{7\times 8}+\frac{7}{8\times 7}\) - step2: Multiply the numbers: \(\frac{3\times 8}{56}+\frac{7}{8\times 7}\) - step3: Multiply the numbers: \(\frac{3\times 8}{56}+\frac{7}{56}\) - step4: Transform the expression: \(\frac{3\times 8+7}{56}\) - step5: Multiply the numbers: \(\frac{24+7}{56}\) - step6: Add the numbers: \(\frac{31}{56}\) Aquí están las soluciones a las fracciones que proporcionaste: 9) \( \frac{2}{9} + \frac{4}{3} + \frac{6}{27} = \frac{16}{9} \) o \( 1 \frac{7}{9} \) o \( 1.7\overline{7} \) 10) \( \frac{3}{4} + \frac{2}{5} + \frac{4}{6} = \frac{109}{60} \) o \( 1 \frac{49}{60} \) o \( 1.81\overline{6} \) 11) \( \frac{1}{2} + \frac{2}{4} + \frac{5}{10} = \frac{3}{2} \) o \( 1 \frac{1}{2} \) o \( 1.5 \) 12) \( \frac{24}{32} - \frac{5}{16} = \frac{7}{16} \) o \( 0.4375 \) 13) \( \frac{4}{5} - \frac{2}{6} = \frac{7}{15} \) o \( 0.4\overline{6} \) \( \frac{3}{7} + \frac{1}{8} = \frac{31}{56} \) o \( 0.553\overline{5}7142\overline{8} \) 15) \( \frac{3}{3} - \frac{2}{8} = \frac{3}{4} \) o \( 0.75 \) Si necesitas más ayuda o explicaciones sobre algún paso, no dudes en preguntar.

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The Deep Dive

Per a la suma de fraccions, és fonamental trobar un denominador comú. Per exemple, per a \( \frac{2}{9}+\frac{4}{3}+\frac{6}{27} \), el denominador comú seria 27. Després, modifica les fraccions per poder sumar-les fàcilment, i no t'oblidis de simplificar el resultat, si és necessari! Un error comú és oblidar-se de simplificar les fraccions després de realitzar les operacions. Quan treballis amb fraccions com a \( \frac{1}{2}+\frac{2}{4}+\frac{5}{10} \), pot ser fàcil passar per alt que totes aquestes fraccions són equivalentes. Recorda que simplificar-les pot fer que els càlculs siguin més clars i més comprensibles!

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