Ratios and Proportions - SHS

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 a proportion?

Back

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

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common divisor.

Front

If a:b = 3:4, what is the value of a if b = 12?

Back

a = 9, because (3/4) = (a/12) leads to a = 9.

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 5:15 = x:30, what is the value of x?

Back

x = 10, because (5/15) = (x/30) leads to x = 10.

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 do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first term by the sum of both terms and multiply by 100.

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares different parts of a whole, such as the ratio of boys to girls in a class.