Evaluate the expression. $0.9(8.2 \cdot 20.35)$

You plan to add a fountain of length is $5 \frac{1}{4} \mathrm{ft}$ and breadth is $3 \frac{1}{3} \mathrm{ft}$ to your garden of length is $6 \frac{3}{4} \mathrm{ft}$ and breadth is $9 \frac{1}{6} ft$. a Draw a diagram of the fountain in the garden. Label the dimensions. b. Describe two methods for finding the area of the garden that surrounds the fountain. c. Find the area. Which method did you use, and why?

Evaluate the expression. $23.98-1.7^{2} \cdot 7.6$

Is the product of two positive mixed numbers ever less than 1? Explain.

The table shows the portions of a family budget that are spent on several expenses. a. How many times more is the expense for housing than for automobiles? b. How many times more is the expense for food than for recreation? c. The expense for automobile fuel is $\frac{1}{60}$ of the total expenses. What fraction of the automobile expense is spent on fuel?

$$\begin{matrix} \text{Expense} & \text{Portion of Budget}\\ \text{Housing} & {\frac{1}{4}}\\ \text{Food} & {\frac{1}{12}}\\ \text{Automobiles} & {\frac{1}{15}}\\ \text{Recreation} & {\frac{1}{40}}\\ \end{matrix}$$

Evaluate the expression. 4.32(3.7 + 1.65)

You are in a bike race of 40 miles. When you get to the first checkpoint, you are $\frac{2}{5}$ of the distance to the second checkpoint. When you get to the second checkpoint, you are $\frac{1}{4}$ of the distance to the finish. What is the distance from the start to the first checkpoint?

When is the reciprocal of a fraction a whole number? Explain.

Find a fraction that, when multiplied by $\frac{1}{2}$, is less than $\frac{1}{4}$.

Evaluate the expression. $1.047 \times 5-0.88$

Evaluate the expression. $6.85 \times 2 \times 10$

You use $\frac{1}{8}$ of your battery for every $\frac{2}{5}$ of an hour that you video chat. You use $\frac{3}{4}$ of your battery video chatting. How long did you video chat?

Three pictures of length is $14 \frac{2}{3} in.$ and breadth is $10 \frac{1}{2} \mathrm{in.}$ hang side by side on a wall. What is the total area of the wall that the pictures cover?

Multiply. Write the answer in simplest form. $\left(\frac{5}{6}\right)^{2} \times\left(1 \frac{1}{10}\right)^{2}$