Answer:
[tex]11\frac{13}{30}[/tex]
Step-by-step explanation:
we have
[tex]7\frac{3}{10}+4\frac{2}{15}[/tex]
step 1
Convert mixed number to an improper fraction
[tex]7\frac{3}{10}=7+\frac{3}{10}=\frac{7*10+3}{10}=\frac{73}{10}[/tex]
[tex]4\frac{2}{15}=4+\frac{2}{15}=\frac{4*15+2}{15}=\frac{62}{15}[/tex]
step 2
Adds the fractions
[tex]\frac{73}{10}+\frac{62}{15}=\frac{73*3+62*2}{30}=\frac{343}{30}[/tex]
step 3
Convert to mixed number
[tex]\frac{343}{30}=\frac{330}{30}+\frac{13}{30}=11\frac{13}{30}[/tex]
