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.

Write the ratio \(1\displaystyle\frac{2}{3}\) to \(3\displaystyle\frac{1}{3}\) 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?