Answer:
a = 1, b = 2, c = 3
Step-by-step explanation:
[tex]a + \frac{1}{b + \frac{1}{c} } = \frac{10}{7} \\ \\ a + \frac{1}{b + \frac{1}{c} } = 1 + \frac{3}{7} \\ \\ a + \frac{1}{b + \frac{1}{c} } = 1 + \frac{1}{\frac{7}{3} } \\ \\ a + \frac{1}{b + \frac{1}{c} } = 1 + \frac{1}{2 + \frac{1}{3} } \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 1 \\ \\ b = 2 \\ \\ c = 3[/tex]
