15/7 : 1/2 + 3/14 : 1/2
= 15/7 . 2 + 3/14 . 2
= (15 + 3/14) . 2
= 213/14 . 2
= 213/7
\(\dfrac{15}{7}\) : \(\dfrac{1}{2}\) + \(\dfrac{3}{14}\) : \(\dfrac{1}{2}\)
= (\(\dfrac{15}{7}\) + \(\dfrac{3}{14}\)) : \(\dfrac{1}{2}\)
= (\(\dfrac{15\times2}{7\times2}\) + \(\dfrac{3}{14}\)) : \(\dfrac{1}{2}\)
= (\(\dfrac{30}{14}\) + \(\dfrac{3}{14}\)) \(\times\) 2
= \(\dfrac{33}{14}\) \(\times\) 2
= \(\dfrac{33}{7}\)