Ratios and Rates worksheet with problems to convert phrases into rates and unit rates, suitable for math practice.

Here are the solutions for the "Ratios and Rates" worksheet.

To find the Rate, we write the comparison as a fraction (first number over second number).
To find the Unit Rate, we divide the first number by the second number to see how much it is for one single item. We round the answer to two decimal places (the nearest hundredth).

1) 6 dollars for 2 cans of tuna
* Rate: $\frac{6}{2}$
* Unit Rate: $6 \div 2 = 3$
* Answer: $3.00 per can

2) 13 chocolate bars cost 21 dollars
* Rate: $\frac{21}{13}$ (Dollars over Bars)
* Unit Rate: $21 \div 13 \approx 1.615...$
* Round to nearest hundredth: $1.62 per bar

3) 13 dollars for 4 books
* Rate: $\frac{13}{4}$
* Unit Rate: $13 \div 4 = 3.25$
* Answer: $3.25 per book

4) mowed 5 yards for $35.00
* Rate: $\frac{35}{5}$
* Unit Rate: $35 \div 5 = 7$
* Answer: $7.00 per yard

5) 145 miles on 9 gallons of gas
* Rate: $\frac{145}{9}$
* Unit Rate: $145 \div 9 = 16.111...$
* Round to nearest hundredth: 16.11 miles per gallon

6) 12 batteries cost 20 dollars
* Rate: $\frac{20}{12}$
* Unit Rate: $20 \div 12 = 1.666...$
* Round to nearest hundredth: $1.67 per battery

7) 7 calculators cost $190.00
* Rate: $\frac{190}{7}$
* Unit Rate: $190 \div 7 = 27.142...$
* Round to nearest hundredth: $27.14 per calculator

8) 7 inches of snow in 6 hours
* Rate: $\frac{7}{6}$
* Unit Rate: $7 \div 6 = 1.166...$
* Round to nearest hundredth: 1.17 inches per hour

9) 7 movie tickets cost $25.00
* Rate: $\frac{25}{7}$
* Unit Rate: $25 \div 7 = 3.571...$
* Round to nearest hundredth: $3.57 per ticket

10) 8 pencils for 14 dollars
* Rate: $\frac{14}{8}$
* Unit Rate: $14 \div 8 = 1.75$
* Answer: $1.75 per pencil

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Final Answer:

1) Rate: 6/2, Unit Rate: $3.00
2) Rate: 21/13, Unit Rate: $1.62
3) Rate: 13/4, Unit Rate: $3.25
4) Rate: 35/5, Unit Rate: $7.00
5) Rate: 145/9, Unit Rate: 16.11 mpg
6) Rate: 20/12, Unit Rate: $1.67
7) Rate: 190/7, Unit Rate: $27.14
8) Rate: 7/6, Unit Rate: 1.17 in/hr
9) Rate: 25/7, Unit Rate: $3.57
10) Rate: 14/8, Unit Rate: $1.75