Writing 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?

Back

To set up a proportion, you can use the formula \( \frac{a}{b} = \frac{c}{d} \), where a, b, c, and d are numbers.

Front

What is the cross-multiplication method in proportions?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio, and vice versa, to find the unknown.

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 find an unknown in a proportion?

Back

To find an unknown in a proportion, set up the proportion and use cross-multiplication to solve for the unknown.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions show that two ratios are equal.

Front

If a car travels 150 miles in 3 hours, what is the rate of travel in miles per hour?

Back

The rate of travel is 50 miles per hour.

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 simplified form of the ratio 100:60?

Back

The simplified form of the ratio 100:60 is 5:3.

Front

If a student needs to score 50% on a test worth 10 points, how many points do they need?

Back

The student needs to score 5 points, as \( \frac{5}{10} = \frac{50}{100} \).