9. $3\\frac{1}{2}+1\\frac{1}{3}$ (116)\n10. $2\\frac{1}{6}+1\\frac{1}{2}$ (116)\n11. $5\\frac{5}{6}-1\\frac{1…

Explanation:

Step1: Solve 9.

First, convert mixed - numbers to improper fractions. $3\frac{1}{2}=\frac{7}{2}$ and $1\frac{1}{3}=\frac{4}{3}$. Then find a common denominator, which is 6. $\frac{7}{2}=\frac{21}{6}$ and $\frac{4}{3}=\frac{8}{6}$. $\frac{21}{6}+\frac{8}{6}=\frac{21 + 8}{6}=\frac{29}{6}=4\frac{5}{6}$

Step2: Solve 10.

Convert mixed - numbers: $2\frac{1}{6}=\frac{13}{6}$ and $1\frac{1}{2}=\frac{3}{2}=\frac{9}{6}$. $\frac{13}{6}+\frac{9}{6}=\frac{13 + 9}{6}=\frac{22}{6}=3\frac{4}{6}=3\frac{2}{3}$

Step3: Solve 11.

Convert mixed - numbers: $5\frac{5}{6}=\frac{35}{6}$ and $1\frac{1}{2}=\frac{3}{2}=\frac{9}{6}$. $\frac{35}{6}-\frac{9}{6}=\frac{35 - 9}{6}=\frac{26}{6}=4\frac{1}{3}$

Step4: Solve 12.

Convert mixed - numbers: $4\frac{2}{3}=\frac{14}{3}$ and $1\frac{1}{4}=\frac{5}{4}$. Find a common denominator, which is 12. $\frac{14}{3}=\frac{56}{12}$ and $\frac{5}{4}=\frac{15}{12}$. $\frac{56}{12}-\frac{15}{12}=\frac{56 - 15}{12}=\frac{41}{12}=3\frac{5}{12}$

Step5: Solve 13.

$0.0144\div6 = 0.0024$

Step6: Solve 14.

$1.2\div5=0.24$

Step7: Solve 15.

$0.18\div12 = 0.015$

Step8: Solve 16.

$0.24\div0.3 = 0.8$

Step9: Solve 17.

$1.0\div0.5 = 2$

Step10: Solve 18.

$0.180\div1.2=0.15$

Step11: Solve 19(a).

When dividing by 10, move the decimal point one place to the left. So, $0.5\div10 = 0.05$

Step12: Solve 19(b).

When dividing by 100, move the decimal point two places to the left. So, $0.5\div100 = 0.005$

Step13: Solve 20.

First, $3−1.6 = 1.4$. Then, $1.4−0.16 = 1.24$

Step14: Solve 21.

$0.12\times0.30=0.036$

Step15: Solve 22.

$0.12\times10 = 1.2$

Step16: Solve 23.

$7.6\times3.9=(7 + 0.6)\times(3+0.9)=7\times3+7\times0.9+0.6\times3+0.6\times0.9=21 + 6.3+1.8 + 0.54=29.64$

Step17: Solve 24.

$4\times\frac{3}{8}=\frac{4\times3}{8}=\frac{12}{8}=\frac{3}{2}=1.5$

Step18: Solve 25.

$4\div\frac{3}{8}=4\times\frac{8}{3}=\frac{32}{3}=10\frac{2}{3}$

Step19: Solve 26.

For a rectangle with length $l=\frac{1}{2}$ ft and width $w = \frac{1}{3}$ ft, the perimeter $P=2(l + w)=2(\frac{1}{2}+\frac{1}{3})=2(\frac{3 + 2}{6})=2\times\frac{5}{6}=\frac{5}{3}=1\frac{2}{3}$ ft

Step20: Solve 27.

The area of the rectangle $A=l\times w=\frac{1}{2}\times\frac{1}{3}=\frac{1}{6}$ square feet

Step21: Solve 28.

The volume of a rectangular - prism (room) with width $w = 10$ ft, length $l = 12$ ft, and height $h = 8$ ft is $V=l\times w\times h=10\times12\times8 = 960$ cubic feet

Step22: Solve 29.

The hexagon is made up of two squares. One square has side - length 5 ft and the other has side - length 10 ft. The area of the first square $A_1=5\times5 = 25$ square feet, and the area of the second square $A_2=10\times10 = 100$ square feet. The total area $A=A_1+A_2=25 + 100=125$ square feet

Step23: Solve 30.

The side - lengths of the hexagon are: two sides of length 5 ft, two sides of length 10 ft, and two sides of length $(10 - 5)=5$ ft. The perimeter $P=5 + 5+10+10+5+5 = 40$ ft

Answer:

9. $4\frac{5}{6}$; 10. $3\frac{2}{3}$; 11. $4\frac{1}{3}$; 12. $3\frac{5}{12}$; 13. $0.0024$; 14. $0.24$; 15. $0.015$; 16. $0.8$; 17. $2$; 18. $0.15$; 19(a). $0.05$; 19(b). $0.005$; 20. $1.24$; 21. $0.036$; 22. $1.2$; 23. $29.64$; 24. $1.5$; 25. $10\frac{2}{3}$; 26. $1\frac{2}{3}$ ft; 27. $\frac{1}{6}$ square feet; 28. 960 cubic feet; 29. 125 square feet; 30. Side - lengths: two 5 ft, two 10 ft, two 5 ft; Perimeter: 40 ft