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, such as miles per hour or cost per item.

Front

How do you convert a fraction to a unit rate?

Back

To convert a fraction to a unit rate, divide the numerator by the denominator to find the value of the fraction per one unit.

Front

If a recipe calls for 2/3 cup of an ingredient for every 3/4 cup of another, how do you find the unit rate of the first ingredient?

Back

Divide 2/3 by 3/4, which is the same as multiplying 2/3 by the reciprocal of 3/4, resulting in 8/9.

Front

How do you solve for an unknown quantity in a ratio?

Back

Set up a proportion based on the known ratios and cross-multiply to solve for the unknown quantity.

Front

What is the process to find how much of one ingredient is needed if you have a different amount of another ingredient in a recipe?

Back

Use the ratio of the two ingredients to set up a proportion and solve for the unknown quantity.

Front

How do you find the time taken to travel a certain distance at a given speed?

Back

Use the formula: Time = Distance / Speed.

Front

What is the relationship between distance, rate, and time?

Back

The relationship is expressed by the formula: Distance = Rate × Time.

Front

How can you express a rate as a fraction?

Back

A rate can be expressed as a fraction by placing the quantity of interest in the numerator and the unit of measure in the denominator.

Front

What is the significance of simplifying fractions in unit rates?

Back

Simplifying fractions helps to easily compare rates and understand the relationship between quantities.

Front

How do you convert mixed numbers to improper fractions?

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.