The Definition Of Unit Rate
The Definition of Unit Charge per unit
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Welcome to the Definition of Unit Rate support page.
This page contains all yous demand to know nearly unit rates with lots of worked examples and helpful advice.
We as well accept links to our unit rates worksheets.
The Definition of Unit Rate Support Folio
What is the defintion of unit charge per unit?
What is the deviation between unit rate and unit price?
How to Make up one's mind Unit Charge per unit
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Unit of measurement Rate Worksheets
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The Definition of Unit Rate
- A rate compares two quantities with different units. Information technology can be written as a fraction or a ratio.
- A Unit of measurement rate is the rate of one quantity compared to 1 unit of measurement of some other quantity.
- Usually two unlike measures are compared, due east.chiliad. miles in an hr, number of words in a infinitesimal, number of objects in a pack, etc.
- Unit rates tin can too be thought of as a ratio with a denominator (or consequent) of i. The unit charge per unit is the value of the numerator.
- Unit of measurement rates are useful considering they can be used to compare different sets of rates and decide which is the best/near efficient/fastest/slowest etc.
Here is a quick table showing unit rates with their related fractions and ratios.
| Unit Rate | As a Fraction | Every bit a Ratio |
| 5 miles in a minute | 5 miles / 1 minute | 5 miles : 1 minute |
| 8 pens in a packet | 8 pens / i packet | 8 pens : 1 packet |
| xv pages in a day | 15 pages / i day | 15 pages : 1 day |
| xxx questions in an hour | 30 questions / 1 hour | 30 questions : i hr |
| 3 plants in 1 yard | 3 plants / 1 k | 3 plants : ane yard |
How to Determine Unit Rate?
Hither is the process for finding the unit rate:
- Take the rate and divide the numerator by the denominator to find the unit of measurement rate.
You take now establish the unit charge per unit of your number.
Example: I read 12 books in 5 months = A rate of 12 books / v months = A unit rate of ii.four books per month
What is the difference betwixt unit rate and unit toll (or unit cost)?
Unit of measurement Cost is the amount of money it costs for just 1 item, i litre, one kilogram, i pound, etc.
Unit of measurement Price is very similar to unit rate.
To find the unit price of an item, simply divide the amount of money by the number of items (or the number of litres, kilograms, etc.).
You have at present found the unit toll of your item.
Case: I purchase viii cartons of juice for $12 = A rate of $12 / 8 cartons = a unit toll of $1.50 per carton
Examples of Finding Unit Rates and Unit Prices
These examples will assistance you understand how to discover unit rates (and unit prices).
Example ane) Captain drives 250 miles in iv hours. Find his unit rate in miles per hr.
- The rate is 250 miles / 4 hours.
- Divide the numerator by the denominator.
- To find the unit rate we demand to divide 250 by 4.
- 250 ÷ four = 62.5
- The unit rate is 62.5 miles in an 60 minutes (it can besides be written 62.five miles per hour, 62.v mph or 62.5 miles/hour).
Example 2) Tyger reads 100 pages of his book in 4 hours. What is the unit rate?
- The charge per unit is 100 pages / 4 hours.
- Divide the numerator past the denominator.
- To notice the unit of measurement rate, we need to divide 100 by four.
- 100 ÷ 4 = 25
- The unit charge per unit is 25 pagees in an hour (or 25 pages per hour).
Instance 3) Sally spends 385 minutes doing her homework in a week. What is her unit charge per unit in minutes per day?
- The charge per unit is 385 minutes / seven days.
- To find the unit charge per unit we need to divide 385 by vii.
- 385 ÷ 7 = 55
- The unit charge per unit is 55 minutes per day. She spends an average of 55 minutes per twenty-four hour period doing homework.
Instance 4) Frazer bakes 20 trays of cookies for a party. There are a full of 240 cookies. What is the unit rate of cookies per tray?
- The rate is 240 cookies / 20 trays.
- To find the unit rate we demand to separate 240 by 20.
- 240 ÷ xx = 12
- The unit of measurement rate is 12 cookies per tray.
Case iv) Quadra runs 5 miles in 32 minutes. What her unit of measurement charge per unit in minutes per mile?
- The rate is 32 minutes / five miles.
- To detect the unit rate we need to divide 32 past v.
- 32 ÷ 5 = vi.4
- Her unit rate is 6.4 minutes per mile (or 6 minutes 24 seconds to run a mile)
Instance 5) Captain buys 8 packs of fries for $fourteen. What is the unit price?
- The charge per unit is $14 / viii packs.
- To find the unit price we need to carve up 14 by viii.
- 14 ÷ 8 = i.75
- The unit price is $1.75 per pack of chips.
Example 6) It costs $3100 to produce 40 remote command trucks. What is the unit cost?
- The rate is $3100 / 40 trucks.
- To find the unit price we need to split 3100 by 40.
- 3100 ÷ twoscore = 77.5
- The unit cost is $77.50 per truck.
Example 7) I buy three packs of pens, with 4 pens in each pack for $22. What is the unit price per pen?
- There are 3 x 4 = 12 pens in the iii packs.
- The rate is $22 / 12 pens.
- To find the unit price we need to divide 22 by 12.
- 22 ÷ 12 = 1.8333
- The unit price is $ane.83 per pen (to the nearest cent).
Comparing Unit Rates (and Unit Prices)
Many questions involving rates will ask you to compare two different rates and answer questions most them.
The all-time mode to compare two rates is to catechumen both rates into unit of measurement rates so that they can be compared easily.
Example one) Frazer drives 310 miles in vi hours. Captain drives 250 miles in v hours. Who collection fastest?
Frazer unit of measurement rate is 310 ÷ vi = 51.67 miles in a 60 minutes (to 2dp)
Captain unit rate is 250 ÷ 5 = 50 miles in a hour.
Frazer drove the fastest.
Example two) Emerge buys five packs of cookies for $viii. Flame buys 3 packs of the same cookies for $5. Who got the all-time bargain?
Sally's unit price is $8 ÷ 5 = $one.60 per pack
Flame's unit price is $five ÷ 3 = $1.67 (rounded to 2dp) per pack
Emerge got the best deal.
Instance 3) Quadra reads 400 pages of a book in 7 hours. Tyger reads 190 pages of the same volume in iv hours. Who has the faster reading speed?
Quadra's unit rate is 400 ÷ vii = 57.1 pages per 60 minutes (to 1dp)
Tyger'southward unit rate is 190 ÷ four = 47.5 pages per hour (to 1dp)
Quadra has the faster reading speed.
Instance four) Frazer and Sally go fishing. Frazer catches 16 fish in 3 hours. Sally catches 23 fish in 5 hours. Who had the best hourly rate at catching fish?
Frazer'due south unit rate is 16 ÷ 3 = 5.3 fish per hour (to 1dp)
Emerge'southward unit charge per unit is 23 ÷ 5 = four.6 fish per hour (to 1dp)
Frazer has the all-time hourly charge per unit at catching fish.
Instance 5) Gardener George plants 59 hedging plants evenly over a length of xviii yards. Gardener Georgina plants 75 hedging plants evenly over a length of 22 yards. Who plants their hedging plants furthest apart?
Gardener George's unit charge per unit is 59 ÷ eighteen = 3.3 yards per plant (to 1dp)
Gardener Georgina's unit rate is 75 ÷ 22 = 3.4 yards per plant (to 1dp)
Gardener Georgina plants her plants furthest apart.
Unit Rate Worksheets
These sheets will help yous practise finding and comparing unit rates and unit prices.
They are aimed at students around 6th grade.
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The Definition Of Unit Rate,
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