Ratio and Fraction Flashcard

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 \( \frac{a}{b} \).

Front

How do you express a ratio as a fraction in simplest form?

Back

To express a ratio as a fraction in simplest form, divide both the numerator and denominator by their greatest common divisor (GCD).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

How do you find a unit rate from a ratio?

Back

To find a unit rate, divide the first quantity by the second quantity to express it as 'x per 1 unit'.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, typically written as \( \frac{a}{b} = \frac{c}{d} \).

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their GCD.

Front

What is the average speed formula?

Back

Average speed is calculated using the formula: \( \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \).

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

What is the first step in solving a ratio problem?

Back

The first step is to identify the quantities being compared and express them as a fraction.