Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you set up a proportion to solve for an unknown?

Back

To set up a proportion, you can use the cross-multiplication method, where you multiply the means and the extremes.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a given total?

Back

To find the unit rate, divide the total quantity by the number of units.

Front

What is the relationship between ratios and proportions?

Back

Ratios are comparisons of two quantities, while proportions are equations that show that two ratios are equivalent.

Front

How can proportions be used in real-life situations?

Back

Proportions can be used to solve problems involving scaling, such as recipes, maps, and financial calculations.

Front

What is cross-multiplication in the context of proportions?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What is the formula for finding the total number of items in a proportional relationship?

Back

The formula is: Total = (Part/Ratio) * Total Ratio.