## Elementary Technical Mathematics

$2\frac{23}{24}$
Convert each mixed number to improper fraction to obtain: $=\frac{8(5)+3}{8}-\frac{12(2)+5)}{12} \\=\frac{43}{8}-\frac{29}{12}$ Make the fractions similar using their LCD of $24$ to obtain: $=\frac{43(3)}{8(3)}-\frac{29(2)}{12(2)} \\=\frac{129}{24}-\frac{58}{24} \\=\frac{129-58}{24} \\=\frac{71}{24} \\=2\frac{23}{24}$