Writing proportions

Front

What is a proportion?

Back

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

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.7.RP.A.2C

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.

Tags

CCSS.7.RP.A.3

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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.

Tags

CCSS.7.RP.A.2B

Front

What is the relationship between ratios and proportions?

Back

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

Tags

CCSS.6.RP.A.3A

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the simplified form of the ratio 100:60?

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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 \( \frac{5}{10} = \frac{50}{100} \).