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 a:b.

Front

What is a proportion?

Back

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

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, even if the numbers are different.

Front

What is the formula for finding an equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

If the ratio of triangles to squares is 4:3, how many squares are there if there are 12 triangles?

Back

If there are 12 triangles, then there are 9 squares (using the ratio 4:3).

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

What is the relationship between ratios and fractions?

Back

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

Front

How can you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply and see if the products are equal.

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when the two quantities are expressed in the smallest whole numbers possible.