# x=7/8, y= 1/4, z= 5/12 Evaluate the variable expression x+ y + z for the given values of x, y and z.

Evaluate the variable expression x+ y + z for the given values of x, y and z.
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Trace Arias

To add fractions, make the denominators same.
Least common multiple of 8 , 4 and 12 is 24.
So making the denominator of each term 24,
$x+y+z=\frac{7}{8}\cdot \frac{3}{3}+\frac{1}{4}\cdot \frac{6}{6}+\frac{5}{12}\cdot \frac{2}{2}\phantom{\rule{0ex}{0ex}}x+y+z=\frac{21}{24}+\frac{6}{24}+\frac{10}{24}=\frac{21+6+10}{24}=\frac{37}{24}\phantom{\rule{0ex}{0ex}}x+y+z=\frac{37}{24}$