Question

Divided difference of 14 / 5 - 14/20 by their product

Answer 1

Step-by-step explanation:

Product of

$\frac{14}{5} \times \frac{14}{20} = \frac{7}{5} \times \frac{7}{5} \\ = \frac{49}{25}$

Difference of

$\frac{14}{5} - \frac{14}{20} \\ = \frac{14 \times 4}{5 \times 4} - \frac{14}{20} \\ = \frac{56}{20} - \frac{14}{20} \\ = \frac{56 - 14}{20} \\ = \frac{42}{20} = \frac{21}{10}$

Answer =

$\frac{ \frac{21}{10} }{ \frac{49}{25} } = \frac{21}{10} \times \frac{25}{49} \\ = \frac{3}{2} \times \frac{5}{7} = \frac{15}{14}$