Questions: 13/6 + 2/3

Solution Steps

To add \(\frac{13}{6}\) and \(\frac{2}{3}\), first find a common denominator. The least common denominator (LCD) of 6 and 3 is 6. Convert \(\frac{2}{3}\) to a fraction with denominator 6: \[ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \] Now add the fractions: \[ \frac{13}{6} + \frac{4}{6} = \frac{13 + 4}{6} = \frac{17}{6} \]

To simplify \(\frac{15}{9}\), divide the numerator and denominator by their greatest common divisor (GCD), which is 3: \[ \frac{15}{9} = \frac{15 \div 3}{9 \div 3} = \frac{5}{3} \]

To simplify \(\frac{26}{18}\), divide the numerator and denominator by their GCD, which is 2: \[ \frac{26}{18} = \frac{26 \div 2}{18 \div 2} = \frac{13}{9} \]

Final Answer