Answer:
[tex]7\frac{11}{35}[/tex]
Step-by-step explanation:
[tex]2\frac{5}{7}+4\frac{3}{5}[/tex]
add the whole numbers
[tex]2+4=6[/tex]
combine the fractions
[tex]\frac{5}{7}+\frac{3}{5}[/tex]
LCM is 35 because 7 * 5 =35
[tex]\frac{5}{7}=\frac{5\cdot \:5}{7\cdot \:5}=\frac{25}{35}[/tex]
[tex]\frac{3}{5}=\frac{3\cdot \:7}{5\cdot \:7}=\frac{21}{35}[/tex]
[tex]\frac{25}{35}+\frac{21}{35}=\frac{25+21}{35}[/tex]
[tex]=\frac{46}{35}[/tex]
change the improper fraction into mixed number
[tex]6+1\frac{11}{35}[/tex]
[tex]=7\frac{11}{35}[/tex]
