Answer:
[tex]10\frac{1}{2}[/tex]
Step-by-step explanation:
We are asked to add the given mixed fractions.
[tex]6\frac{4}{5}+3\frac{7}{10}[/tex]
First of all, let us convert mixed fractions into improper fractions as:
[tex]6\frac{4}{5}\Rightarrow \frac{6\times 5+4}{5}=\frac{30+4}{5}=\frac{34}{5}[/tex]
[tex]3\frac{7}{10}\Rightarrow \frac{3\times 10+7}{10}=\frac{30+7}{10}=\frac{37}{10}[/tex]
[tex]6\frac{4}{5}+3\frac{7}{10}\Rightarrow \frac{34}{5}+\frac{37}{10}[/tex]
Make a common denominator:
[tex]\frac{34\times 2}{5\times 2}+\frac{37}{10}[/tex]
[tex]\frac{68}{10}+\frac{37}{10}[/tex]
Combine numerators:
[tex]\frac{68+37}{10}[/tex]
[tex]\frac{105}{10}[/tex]
[tex]\frac{5\times 21}{5\times 2}[/tex]
[tex]\frac{21}{2}[/tex]
[tex]10\frac{1}{2}[/tex]
Therefore, the simplified form of our given addition problem would be [tex]10\frac{1}{2}[/tex] .
