Step-by-step explanation:
1. [tex]\frac{11}{15}+\frac{1}{8}[/tex]
[tex]\frac{11}{15}=0.733[/tex]
[tex]\frac{1}{8}=0.125\approx 0[/tex]
[tex]\frac{11}{15}+\frac{1}{8}=0.733+0.125\approx 1[/tex]
The estimated sum is 1.
2. [tex]\frac{3}{4} \times 7\frac{2}{17}[/tex]
[tex]\frac{3}{4}=0.75[/tex]
[tex]7\frac{2}{17}=\frac{121}{17}=7.1176[/tex]
[tex]\frac{3}{4} \times 7\frac{2}{17}=0.75\times 7.1176=5.3382\approx 5[/tex]
3. [tex]\frac{5}{6} + \frac{4}{9}[/tex]
[tex]\frac{5\times 9+4\times 6}{6\times 9}[/tex]
[tex]\frac{69}{54}=\frac{23}{18}[/tex]
[tex]\frac{5}{6} + \frac{4}{9}=\frac{23}{18}[/tex]
