Write the ratio \(16\) to \(48\) 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.

Divide the expression \(5n\) by \(5\)

Divide \(7y\) by \(7\)

Solve \(7y=42\) for \(y\) by dividing both sides by \(7\)

Solve for \(a\): \(\;30=5a\)

In the proportion \(\frac{3}{4}=\frac{6}{8}\), 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 \(x\): \(\displaystyle\frac{2/3}{5}=\displaystyle\frac{x}{6}\)

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?

The width and height of the two video clips are proportional. Find the height, \(h\), in pixels of the larger video window.

Draw a triangle similar to triangle \(ABC\), if \(AC\) is proportional to \(DF\). Make \(E\) the third vertex of the new triangle.

A building casts a shadow of \(105\) feet while a \(21\)-foot flagpole casts a shadow that is \(15\) feet. Find the height of the building.

The entire length of a violin is \(24\) inches, while the body length is \(15\) inches. Find the body length of a cello if the entire length is \(48\) inches.