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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 \( 0.75 \)
Solución
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 \( 0.75 \)
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