Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, expressed as 'a/b = c/d'.

Front

How do you solve for x in a proportion?

Back

Front

What is the cross-multiplication method?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio to find an unknown.

Front

Back

x = 10.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

Front

Which of these ratios is equivalent to 3:4? 12:9, 9:20, 9:12, 803:804

Back

9:12.

Front

How do you simplify a ratio?

Back

Divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.

Front

If a:b = 2:3, what is the value of a if b = 15?

Back

a = 10.