Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

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, use cross-multiplication to find the unknown value.

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the first quantity by the second quantity, expressed as 'quantity per 1 unit of another quantity.'

Front

If 4 apples cost $2, what is the cost of 1 apple?

Back

$0.50 per apple.

Front

What does it mean if two ratios are proportional?

Back

It means that the two ratios represent the same relationship or rate.

Front

How can you check if two ratios are proportional?

Back

You can check by cross-multiplying the ratios and seeing if the products are equal.

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

If 3 pencils cost $1.50, how much do 5 pencils cost?

Back

$2.50 for 5 pencils.