Answer:
B) 19/42
Step-by-step explanation:
To find the fraction halfway between 3/7 and 10/21 we first find the difference between the fractions, half it, and then add it back on to the smaller one.
Because 10/21 > 3/7 we subtract in that order
[tex]\frac{10}{21} - \frac{3}{7} = \frac{10}{21} - \frac{9}{21} = \frac{1}{21}[/tex]
Half of 1/21 is 1/42 and so the fraction halfway between 3/7 and 10/21 is
[tex]\frac{3}{7} + \frac{1}{42} = \frac{18}{42} + \frac{1}{42} = \frac{19}{42}[/tex]
