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.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms by dividing the numerator and denominator by their greatest common divisor.

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides two or more numbers without leaving a remainder.

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 relationship between ratios and fractions?

Back

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

Front

How can you check if two ratios are proportional?

Back

You can check if two ratios are proportional by cross-multiplying and comparing the products.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per'.

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first number by the second and multiply by 100.