Unit Rates with Fractions

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 'per' something (e.g., miles per hour, dollars per item).

Front

How do you calculate a unit rate from a fraction?

Back

To calculate a unit rate from a fraction, divide the numerator by the denominator to find the rate per one unit.

Front

What is the formula for finding the unit rate when given a total amount and a time period?

Back

Unit Rate = Total Amount / Time Period.

Front

How do you convert mixed numbers to improper fractions?

Back

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

Front

What is the relationship between unit rates and proportions?

Back

Unit rates can be used to set up proportions, allowing you to compare different ratios and solve for unknowns.

Front

How can you find the total amount needed when given a unit rate?

Back

To find the total amount needed, multiply the unit rate by the total number of units.

Front

What is the significance of simplifying fractions in unit rate problems?

Back

Simplifying fractions makes it easier to compare rates and understand the relationship between quantities.

Front

How do you find the speed of an object in terms of unit rate?

Back

Speed can be found by dividing the distance traveled by the time taken, expressed as distance per time (e.g., miles per hour).

Front

What is the process for solving a word problem involving unit rates?

Back

1. Identify the quantities involved. 2. Determine the unit rate. 3. Set up a proportion if necessary. 4. Solve for the unknown.

Front

How do you convert a unit rate expressed as a fraction to a decimal?

Back

To convert a unit rate expressed as a fraction to a decimal, divide the numerator by the denominator.