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Answer :

[tex]\frac{3}{5}+\frac{7}{8}+\frac{3}{10}[/tex]

Find the least common denominator:

Identify the multiples of each denominator:

[tex]\begin{gathered} 5,10,15,20,25,30,35,40,45 \\ 8,16,24,32,40,48 \\ 10,20,30,40,50 \end{gathered}[/tex]

The least common denominator is 40.

Write each equation with that denominator:

[tex]\begin{gathered} =\frac{3\cdot8}{5\cdot8}+\frac{7\cdot5}{8\cdot5}+\frac{3\cdot4}{10\cdot4} \\ \\ =\frac{24}{40}+\frac{35}{40}+\frac{12}{40} \end{gathered}[/tex]

Add the fractions:

[tex]\begin{gathered} =\frac{24+35+12}{40} \\ \\ =\frac{71}{40} \end{gathered}[/tex]