Ratio and Proportion Flashcard

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

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if a car travels 300 miles on 10 gallons of gas, the unit rate is 300 miles ÷ 10 gallons = 30 miles/gallon.

Front

If a bicycle wheel rotates 400 times in one mile, how many rotations does it make in 10 miles?

Back

4000 rotations (400 rotations/mile × 10 miles = 4000 rotations).

Front

In a scale drawing, if the scale is 1 inch = 5 feet, what is the actual length of a wall that is drawn as 3 inches long?

Back

15 feet (3 inches × 5 feet/inch = 15 feet).

Front

Back

7 (Cross-multiply to solve: 7 × 28 = 14 × x, so x = 7).

Front

Back

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, the ratio 8:12 can be simplified to 2:3.

Front

What is the relationship between ratios and fractions?

Back

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

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In a scale drawing, it shows the ratio of the drawing's dimensions to the actual dimensions.