ReTEST Unit 2.7 Mastery Check #3 Unit Rates with Fractions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you find a unit rate with fractions?

Back

To find a unit rate with fractions, divide the numerator by the denominator to convert the fraction to a decimal, then compare it to the other quantity.

Front

If Lora fills 3/5 gallon in 1/6 minute, how do you calculate how many gallons she can fill in 1 minute?

Back

To find out how many gallons Lora can fill in 1 minute, first find the rate per minute by multiplying the gallons by the reciprocal of the time in minutes: (3/5) ÷ (1/6) = (3/5) * (6/1) = 3 3/5 gallons.

Front

What is the relationship between the amount of seed used and the area planted?

Back

The relationship is a ratio that can be expressed as a unit rate. If 1/2 bag of seed plants 1/10 of the garden, you can find out how many bags are needed for the whole garden by setting up a proportion.

Front

How do you set up a proportion to solve for the total amount of bags needed?

Back

Set up the proportion as follows: (1/2 bag)/(1/10 garden) = (x bags)/(1 garden). Cross-multiply and solve for x.

Front

In a recipe, if 2/3 cup of white sugar is used for every 3/4 cup of brown sugar, how do you find the amount of brown sugar for 1 cup of white sugar?

Back

Set up a ratio: (2/3) / (3/4) = (1) / (x). Cross-multiply to find x, which gives you the amount of brown sugar needed.

Front

What is the formula to find how many yards of fence can be secured with 1 lb of nails?

Back

The formula is: (Total yards of fence secured) / (Total lbs of nails used). For example, if 3 1/3 yards are secured with 2/3 lbs, then for 1 lb, it would be (3 1/3) / (2/3) = 5 yards.

Front

How do you calculate the total amount of paint needed for a whole room if 1 1/2 gallons is used for 3/4 of it?

Back

To find the total amount of paint needed, set up a proportion: (1 1/2 gallons)/(3/4 room) = (x gallons)/(1 room). Cross-multiply to solve for x.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 3 3/5 is a mixed number.

Front

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

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the denominator is the fractional part.