Write the ratio $16$ to $48$ as a fraction in lowest terms.

Give the ratio $\dfrac{2}{3}$ to $\dfrac{4}{9}$ as a fraction in lowest terms.

Write $0.08$ to $0.12$ as a fraction in lowest terms.

A train travels $125$ miles in $2$ hours. What is the train’s rate in miles per hour?

A car travels $90$ miles on $5$ gallons of gas. Give the ratio of miles to gallon as a rate in miles per gallon.

A supermarket sells low-fat milk in three different containers at the following prices: $1$ gallon for $\$3.58$, $1/2$ gallon for $\$1.99$, and $1$ quart for $\$1.29$. Give the unit price in dollars per gallon for each one.

In the proportion $\dfrac{3}{4}=\dfrac{6}{8}$, name the four terms, the means, and the extremes.

Verify the fundamental property of proportions for the following proportions.

1. $\displaystyle\frac{3}{4}=\displaystyle\frac{6}{8}$

2. $\displaystyle\frac{17}{34}=\displaystyle\frac{1}{2}$

Solve for $x$: $\displaystyle\frac{2}{3}=\displaystyle\frac{4}{x}$

Solve for $y$: $\displaystyle\frac{5}{y}=\displaystyle\frac{10}{13}$

Solve for $n$: $\displaystyle\frac{n}{3}=\displaystyle\frac{0.4}{8}$

Solve for $b$: $\displaystyle\frac{b}{15}=2$

A woman drives $270$ miles in $6$ hours. If she continues at the same rate, how far will she travel in $10$ hours?

A baseball player gets $8$ hits in the first $18$ games of the season. If he continues at the same rate, how many hits will he get in $45$ games?

A solution contains $4$ milliliters of alcohol and $20$ milliliters of water. If another solution is to have the same ratio of alcohol to water and must contain $25$ milliliters of water, how much alcohol should it contain?

The scale on the map indicates that $1$ inch on the map corresponds to an actual distance of $85$ miles. Two cities are $3.5$ inches apart on the map. What is the actual distance between the two cities?

Write each percent as a fraction with a denominator of $100$.

1. $33\%$

2. $6\%$

3. $160\%$

Change $35.2\%$ to a decimal.

Write each percent as a decimal.

1. $37\%$

2. $68\%$

3. $120\%$

4. $0.8\%$

Change $0.5\%$ to a decimal.

Write each decimal as a percent.

1. $0.27$

2. $4.89$

3. $0.5$

4. $0.09$

5. $3$

A softball player has a batting average of $0.650$. Write this number as a percent.

Write each percent as a fraction in lowest terms.

1. $19\%$

2. $45\%$

3. $36\%$

Change $4.5\%$ to a fraction.

Change $32\frac{1}{2}\%$ to a fraction.

Change $\dfrac{7}{10}$ to a percent.

Change $\dfrac{3}{8}$ to a percent.

Change $\dfrac{5}{12}$ to a percent.

Change $2\frac{1}{2}$ to a percent.

What number is $15\%$ of $63$?

What percent of $42$ is $21$?

$25$ is $40\%$ of what number?

What number is $43.5\%$ of $25$?

What percent of $78$ is $31.9$?

The American Dietetic Association recommend eating foods in which the number of calories from fat is less than $30\%$ of the total number of calories. According to the nutrition label, what percent of the total number of calories are fat calories?

What number is $15\%$ of $63$? (Use proportions.)

What percent of $42$ is $21$? (Use proportions.)

$25$ is $40\%$ of what number? (Use proportions.)

On a $120$-question test, a student answered $96$ correctly. What percent of the problems did the student work correctly?

How much HCl is in a $60$-milliliter bottle that is marked $80\%$ HCl?

If $48\%$ of the students in a certain college are female and there are $2,400$ female students, what is the total number of students in the college?

If $25\%$ of the students in elementary algebra courses receive a grade of A, and there are $300$ students enrolled in elementary algebra this year, how many students will receive A’s?

Convert $5$ feet to inches.

Normal ceiling height is $8$ feet, convert to yards.

A football field is $100$ yards long, convert to inches.

Convert $25$ millimeters to meters.

Convert $36.5$ centimeters to decimeters.

A sheep rancher is making lambing pens. Each pen is a rectangle $6$ feet wide and $8$ feet long. The fencing material is $\$1.36$ per foot. If he is planning to build five separate lambing pens, how much will it cost?

A ski resort in Vermont advertised their new high-speed chair lift as the world’s fastest chair lift with a speed of 1,100 feet per second. Show why the speed cannot be correct.

Convert $8$ inches to centimeters.

Convert $80.5$ kilometers to miles.

Convert $3$ liters to pints.

The engine in a car has a $2$-liter displacement. What is the displacement in cubic inches?

If a person weighs $125$ pounds, what is their weight in kilograms?

Convert $120^\circ$C to degrees Fahrenheit.

A man with the flu has a temperature of $102^\circ$F. What is his temperature on the Celsius scale?