Respuesta :
[tex]5 \frac{1}{8} + \frac{5}{6} + \frac{5}{12} = x \\ \frac{41}{8} + \frac{5}{6} + \frac{5}{12} = x \\ \frac{123}{24} + \frac{20}{24} + \frac{10}{24} = x \\ \frac{153}{24} = x \\ 6 \frac{9}{24} = x \\ \\ 6 \frac{3}{8} = x[/tex]
Hello!
The answer is: [tex]\frac{51}{8}[/tex]
Why?
We must remember the way that we can add fractions:
[tex]\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}[/tex]
Let's solve this problem following the next steps:
[tex]5 \frac{1}{8}=\frac{40+1}{8}=\frac{41}{8}[/tex]
Then, adding:
[tex]\frac{41}{8}+\frac{5}{6}=\frac{246+40}{48}=\frac{286}{48}[/tex]
Finally, adding:
[tex]\frac{286}{48} +\frac{5}{12}=\frac{3432+240}{576}=\frac{3672}{576}=\frac{51}{8}[/tex]
Hence,
[tex]5\frac{1}{8} +\frac{5}{6} +\frac{5}{12} =\frac{51}{8}[/tex]
Have a nice day!