Ratios and proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a to b' or as a fraction \( \frac{a}{b} \).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, expressed as \( \frac{a}{b} = \frac{c}{d} \).

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What does it mean for ratios to be equivalent?

Back

Ratios are equivalent if they represent the same relationship between quantities, e.g., \( \frac{1}{2} = \frac{2}{4} \).

Front

What is the cross-multiplication method?

Back

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

Front

If \( \frac{10}{x} = \frac{25}{100} \), what is x?

Back

x = 40.

Front

Which of the following ratios are not equivalent to \( \frac{1}{2} \)? 6/10, 2/4, 3/6, 30/60

Back

6/10 is not equivalent to \( \frac{1}{2} \).

Front

What is the value of x in the proportion \( \frac{x}{5} = \frac{10}{15} \)?

Back

x = 10.

Front

Which ratio is NOT equivalent to 3:5? 15:25, 9:15, 21:28, 30:50

Back

21:28 is NOT equivalent to 3:5.

Front

What is the simplest form of the ratio 8:12?

Back

The simplest form of the ratio 8:12 is 2:3.