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?

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?

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

A park has a playground that is $\frac{3}{4}$ of its width and $\frac{4}{5}$ of its Iength. What fraction of the park is covered by the playground? Fold a piece of paper horizontally into fourths and shade three of the fourths to represent $\frac{3}{4}.$ Fold the paper vertically into fifths and shade $\frac{4}{5}$ of the paper another color. Count the total number of squares. This number is the denominator. The numerator is the number of squares shaded with both colors. $\frac{3}{4} \times \frac{4}{5}=$ ________ = _______. So, _______ of the park is covered by the playground.

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

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

A day-care center is building a new outdoor play area in triangle shape of size(10.6m, 11.845m, 12.55m). How much fencing is needed to enclose the play area?

A tank is in the shape of a cube with edge length of 6 feet. Find the number of cubic feet of water needed to fill the tank. Then find the number of cubic yards of water needed to fill the tank. (Hint: 3 ft = 1yd)

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

On a tour of an old gold mine, you find a nugget containing 0.82 ounce of gold. Gold is worth $1566.80 per ounce. How much is your nugget worth?

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?

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

A student writes the prime factorizations of 8 and 12 in a table as shown. She claims she can use the table to find the greatest common factor and the least common multiple of 8 and 12. How is this possible?

$$\begin{matrix} \text{8 =} & \text{2} & \text{2} & \text{2} & \quad & \quad\\ \text{12 =} & \text{2} & \text{2} & \quad & \text{3}\\ \end{matrix}$$

Make a three-dimensional model showing the structure of a DNA molecule. Your model should include the four base pairs that help form the double helix.

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?