Ratios & Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

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, cross-multiply and then divide to find the unknown value.

Front

What is the formula for finding a unit rate?

Back

The unit rate is found by dividing the quantity by the number of units, expressed as 'quantity per unit'.

Front

If 3 out of 5 students prefer chocolate ice cream, what is the ratio of chocolate lovers to total students?

Back

The ratio is 3:5.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100.

Front

What is the ratio of shaded to unshaded squares if 3 squares are shaded out of 5 total squares?

Back

The ratio is 3:2.

Front

If a car travels 300 miles on 10 gallons of gas, what is the miles per gallon?

Back

The miles per gallon is 30.

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.