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7th Grade Ratios, Unit Rate, Convert Unit Rates, Complex Fractions

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

415\frac{4}{\frac{1}{5}}  

a)

120\frac{1}{20}  

b)

45\frac{4}{5}  

c)

20

d)

54\frac{5}{4}  

2.

3467\frac{\frac{3}{4}}{\frac{6}{7}}  

a)

911\frac{9}{11}  

b)

1828\frac{18}{28}  

c)

87\frac{8}{7}  

d)

78\frac{7}{8}  

3.

20815\frac{20}{\frac{8}{15}}  

a)

275\frac{2}{75}  

b)

752\frac{75}{2}  

c)

16015\frac{160}{15}  

d)

15160\frac{15}{160}  

4.

Johnathan can jog 3253\frac{2}{5}   miles in  78\frac{7}{8}  hour. Find his average speed in miles per hour.

a)

44354\frac{4}{35}  mph

b)

44314\frac{4}{31}  mph

c)

331353\frac{31}{35}  mph

d)

4 mph

5.

A truck driver drove 120 miles in 1341\frac{3}{4}  hours. What is the speed of the truck in miles per hour?

a)

68 mph

b)

693469\frac{3}{4}  mph

c)

682368\frac{2}{3}  mph

d)

684768\frac{4}{7}  mph

6.
Round to the nearest tenth if necessary.

660 ft/min = ____________ ft/s 
a)
1.1
b)
11
c)
.11
d)
111
7.
Mrs. Solomon jogs at a rate of 7.5 miles per hour. How many miles per minute does Mrs. Solomon jog? 
a)
0.125 mi/min
b)
12.5 mi/min
c)
0.125 mi/h
d)
125 mi/h
8.
Round to the nearest tenth if necessary.

8 mi/h = ____________ ft/min 
a)
70.4
b)
660
c)
704
d)
6.6
9.
Round to the nearest hundredth if necessary.

110 mi/h = _____________ mi/day    
a)
5620
b)
26.4
c)
9556
d)
2,640
10.
Store A sells 15 songs for $12. Store B sells 10 songs for $9. Which store has the better deal? 
a)
Store A
b)
Store B
11.
Lisa made $300 in 6 hours. Find the unit rate. 
a)
$1800 per hour
b)
$ 294 per hour
c)
$50 per hour
d)
$5 per hour
12.
 Sam drove 220 miles on 8 gallons of gas. Find the unit rate.!
a)
27.5 mpg
b)
2.75 mpg
c)
275 mpg
d)
228 mpg
13.
 Ricky made $600 in two weeks. Find the unit rate.
a)
$300 per week
b)
$200 per week
c)
$1200 per week
d)
$602 per week
14.
Joshua drove 90 miles on 15 gallons of gas. Find the unit rate.
a)
0.17 mpg
b)
135 mpg
c)
6 mpg
d)
75 mpg
15.
Ilana made $45 babysitting for 6 hours. How much does she make per hour?
a)
$75 per hour
b)
$7.50 per hour
c)
$270 per hour
d)
$2.70 per hour
16.

345 ft/min = ________ ft/hour

a)

20,700 feet/hour

b)

5.75 feet/hour

c)

3.45 feet/hour

17.
What is a complex fraction?
a)
A really hard fraction to figure out 
b)
A fraction with a fraction in the numerator, denominator, or both 
c)
A fraction multiplied by a decimal
d)
A fraction with an exponent 
18.

A unit rate is

a)

a rate with the numerator of one.

b)

a rate with the denominator of one.

19.
Which of the following describes a unit rate?
a)
13 pounds per 12 inches
b)
15 fish per 12 gallons
c)
24 hours per day
d)
55 miles in 3 hours
20.
1/2 = 20/40 (Is this an equivalent fraction?)
a)
Yes
b)
No