Finding the Unit Rate with Fractions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity of one unit, such as miles per hour or price per item.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the unit rate from a fraction?

Back

To find the unit rate from a fraction, divide the numerator by the denominator to express the fraction as a decimal, then determine how much of the quantity corresponds to one unit.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a painter uses 1 1/2 gallons of paint for 3/4 of a room, how do you calculate the total gallons needed for the whole room?

Back

Set up a proportion: (1 1/2 gallons) / (3/4 room) = x gallons / (1 room). Solve for x to find the total gallons needed.

Tags

CCSS.7.RP.A.1

Front

What is the formula to find how much of a resource is used over time?

Back

The formula is: Amount used = (Rate of use) x (Time). This helps determine how much can be consumed or produced in a given time.

Tags

CCSS.6.RP.A.3B

Front

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

Back

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

Front

If a dog eats 1/3 of a bag of food in 1/2 week, how do you find out how much it eats in 1 week?

Back

Double the amount eaten in 1/2 week: (1/3 bag) x (2) = 2/3 bag in 1 week.

Tags

CCSS.7.RP.A.1

Front

What is the relationship between time and distance in a rate problem?

Back

The relationship is often expressed as: Distance = Rate x Time. This means that to find one of these values, you can rearrange the formula.

Tags

CCSS.6.RP.A.3B

Front

How do you find the amount of one ingredient needed based on another in a recipe?

Back

Set up a ratio based on the recipe's proportions and use cross-multiplication to find the unknown quantity.

Tags

CCSS.7.RP.A.3

Front

What does it mean to express an answer as a mixed number?

Back

A mixed number combines a whole number and a proper fraction, such as 3 3/5, which means 3 whole parts and 3/5 of another part.

Tags

CCSS.3.NF.A.3C

Front

How do you solve for a variable in a proportion?

Back

Cross-multiply the known values and then divide to isolate the variable.

Tags

CCSS.7.RP.A.2C