2/7:4/49

To simplify the expression \( \frac{2}{7} : \frac{4}{49} \), we can rewrite it as multiplication by the reciprocal of the second fraction: \[ \frac{2}{7} \cdot \frac{49}{4} \] Now, multiply the numerators and denominators: \[ \frac{2 \times 49}{7 \times 4} = \frac{98}{28} \] Finally, simplify the fraction by dividing both the numerator and denominator by the greatest common divisor, which is 14: \[ \frac{98 \div 14}{28 \div 14} = \frac{7}{2} \] So, \( \frac{2}{7} : \frac{4}{49} = \frac{7}{2} \).