Pregunta
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\[
\frac{11}{21}
\]
Solución
To solve the expression:
\[
\frac{6}{7} - \frac{2}{6}
\]
**Step 1: Find a Common Denominator**
The denominators are 7 and 6. The least common multiple (LCM) of 7 and 6 is 42.
**Step 2: Convert Each Fraction**
\[
\frac{6}{7} = \frac{6 \times 6}{7 \times 6} = \frac{36}{42}
\]
\[
\frac{2}{6} = \frac{2 \times 7}{6 \times 7} = \frac{14}{42}
\]
**Step 3: Subtract the Fractions**
\[
\frac{36}{42} - \frac{14}{42} = \frac{22}{42}
\]
**Step 4: Simplify the Fraction**
\[
\frac{22}{42} = \frac{11}{21}
\]
**Final Answer:**
\[
\frac{11}{21}
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Beyond the Answer
To solve \( \frac{6}{7}-\frac{2}{6} \), first, find a common denominator for the fractions. The least common multiple of 7 and 6 is 42. Now, convert each fraction: - \( \frac{6}{7} = \frac{6 \times 6}{7 \times 6} = \frac{36}{42} \) - \( \frac{2}{6} = \frac{2 \times 7}{6 \times 7} = \frac{14}{42} \) Now, subtract the two fractions: \( \frac{36}{42} - \frac{14}{42} = \frac{36 - 14}{42} = \frac{22}{42} \) Finally, simplify \( \frac{22}{42} \) by dividing the numerator and the denominator by their greatest common divisor, which is 2: \( \frac{22 \div 2}{42 \div 2} = \frac{11}{21} \) Thus, \( \frac{6}{7}-\frac{2}{6} = \frac{11}{21} \).
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