Ratios, Unit Rates, and Complex Fractions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as a fraction, with the first quantity as the numerator and the second as the denominator.

Front

How do you calculate a unit rate?

Back

A unit rate is calculated by dividing the quantity of one item by the quantity of another item, typically expressed as 'per 1' of the second item.

Front

What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both contain fractions.

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, multiply the numerator and the denominator by the least common denominator (LCD) of the fractions involved.

Front

What is the unit rate if Peter paid $79.80 for renting a bike for 6 hours?

Back

The unit rate is $13.30 per hour.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is the simplified form of the ratio 24 players to 3 teams?

Back

The simplified form is 8:1.

Front

How do you solve for a variable in a proportion?

Back

To solve for a variable in a proportion, cross-multiply and then isolate the variable.

Front

What is the value of x in the equation \( \frac{8}{x} = \frac{16}{30} \)?

Back

The value of x is 15.

Front

What does it mean to find the rate per hour?

Back

Finding the rate per hour means calculating how much is charged or earned for each hour of service or work.