1:06 AM Wed Feb 5 9. [-/1 Points] DETAILS MY NOTES TGEIALG6 1.2.061. \( 0 / 10 \) Submissio Perform the operation and, if possible, simplify. \[ \frac{14}{15}-\frac{1}{21} \] \( \square \) Need Help? Read It Watch It SUBMIT ANSWER
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To perform the operation \(\frac{14}{15} - \frac{1}{21}\), the first step is to find a common denominator. The least common multiple of 15 and 21 is 105. So, convert each fraction: \[ \frac{14}{15} = \frac{14 \times 7}{15 \times 7} = \frac{98}{105} \] \[ \frac{1}{21} = \frac{1 \times 5}{21 \times 5} = \frac{5}{105} \] Now, subtract the fractions: \[ \frac{98}{105} - \frac{5}{105} = \frac{93}{105} \] Next, simplifying \(\frac{93}{105}\) gives: \[ \frac{93 \div 3}{105 \div 3} = \frac{31}{35} \] So, the final simplified result is: \(\frac{31}{35}\)