Answer:
Final answer is [tex]=3\frac{7}{15}[/tex].
Step-by-step explanation:
[tex]4\ \frac{1}{5}-7\ \frac{2}{3}[/tex]
[tex]=\frac{4\cdot5+1}{5}-\frac{7\cdot3+2}{3}[/tex]
[tex]=\frac{20+1}{5}-\frac{21+2}{3}[/tex]
[tex]=\frac{21}{5}-\frac{23}{3}[/tex]
[tex]=\frac{21}{5}\cdot\frac{3}{3}-\frac{23}{3}\cdot\frac{5}{5}[/tex]
[tex]=\frac{63}{15}-\frac{115}{15}[/tex]
[tex]=-\frac{52}{15}[/tex]
[tex]=-3\frac{7}{15}[/tex]
Hence final answer is [tex]=3\frac{7}{15}[/tex].
