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 a/b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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 and then solve for the unknown variable.

Front

What is the simplest form of the ratio 10:18?

Back

The simplest form is 5:9.

Front

If the ratio of red to yellow LEGOS is 3:6, what is it in simplest form?

Back

The simplest form is 1:2.

Front

What does it mean to express a ratio in simplest form?

Back

Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.

Front

How do you find the GCD of two numbers?

Back

The GCD can be found using the prime factorization method or the Euclidean algorithm.

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

Back

t = 3.