Answer:
[tex] 7 \frac{23}{40} [/tex]
Step-by-step explanation:
2 and 1/4 + 2 and 1/5 + 3 and 5/8
[tex] = 2 \frac{1}{4} + 2 \frac{1}{5} + 3 \frac{1}{8} \\ \\ = \frac{2 \times 4 + 1}{4} + \frac{2 \times 5 + 1}{5} + \frac{3 \times 8 + 1}{8} \\ \\ = \frac{8 + 1}{4} + \frac{10 + 1}{5} + \frac{24 + 1}{8} \\ \\ = \frac{9}{4} + \frac{11}{5} + \frac{25}{8} \\\\(lcm \: of \: 4, \: 5, \: 8 \: = 40) \\ \\ = \frac{9 \times 10}{4 \times 10} + \frac{11 \times 8}{5 \times 8} + \frac{25 \times 5}{8 \times 5} \\ \\ = \frac{90}{40} + \frac{88}{40} + \frac{125}{40} \\ \\ = \frac{90 + 88 + 125}{40} \\ \\ = \frac{303}{40} \\ \\ = 7 \frac{23}{40} [/tex]
