Proportion & Conversation (Passage 2)

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms. For example, if a/b = c/d, then ad = bc.

Front

What is the definition of conversion in mathematics?

Back

Conversion in mathematics refers to changing a quantity from one unit to another, such as converting inches to centimeters.

Front

What is the formula for converting Celsius to Fahrenheit?

Back

F = (C × 9/5) + 32, where F is Fahrenheit and C is Celsius.

Front

What is the formula for converting Fahrenheit to Celsius?

Back

C = (F - 32) × 5/9, where C is Celsius and F is Fahrenheit.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as a fraction, such as 3:4 or 3/4.

Front

What is the relationship between ratios and proportions?

Back

Ratios are used to compare two quantities, while proportions state that two ratios are equal.

Front

How can proportions be used in real-life applications?

Back

Proportions can be used in various real-life applications, such as cooking (scaling recipes), finance (calculating interest rates), and science (dilution of solutions).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, such as miles per hour or price per item.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity to express it as a rate per one unit.