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GCF/LCM & Adding, Subtracting and Multiplying Fractions

Total questions: 50

Worksheet time: 2hrs 49mins

Name
Class
Date
1.
When adding fractions with unlike denominators, what is the first thing you need to do?
a)
Find the LCD
b)
Find the GCF
c)
Add the Numerator
d)
Add the Denominator
2.
When subtracting whole numbers and mixed numbers what is the first thing you need to do?
a)
Subtract the whole number
b)
Subtract the numerator
c)
Regroup, by changing the whole number to a mixed number
d)
Subtract the fractions
3.
When multiplying fractions what do you do?
a)
Find the LCD
b)
Find the GCF
c)
Multiply the numerators then the denominators.
d)
Multiply the numerators, keep the same denominator
4.
When multiplying mixed numbers, what is the first thing you need to do?
a)
Find the GCF
b)
Find the LCM
c)
Change the numbers to improper fractions.
d)
Simplify the fractions
5.
What is the simpliest form of 20/15.
a)
4/3
b)
1 1/3
c)
20/15
d)
5/3
6.

Find the lowest common denominator of  16\frac{1}{6}  and  59\frac{5}{9}  =

a)

3

b)

9

c)

18

d)

36

7.

 1115   710 = \frac{11}{15\ }\ -\ \frac{7}{10}\ =\   

a)

 130\frac{1}{30}  

b)

 45\frac{4}{5}  

c)

 415\frac{4}{15}  

d)

 1825\frac{18}{25}  

8.

Convert  619\frac{61}{9}  to a mixed number.

a)

 6 796\ \frac{7}{9}  

b)

 6 596\ \frac{5}{9}  

c)

 5 795\ \frac{7}{9}  

d)

 6 196\ \frac{1}{9}  

9.

A carpenter has two different boards measuring 80 inches and 64 inches. If the carpenter cuts them equally sized pieces and has no wood left over, how long will each piece be?

a)

4 inches

b)

5 inches

c)

16 inches

d)

12 inches

10.

Quincy and Roy were asked to list the common factors of 24 and 60 and then determine the GCF. Which student correctly completed the task?

a)

Neither Quincy or Roy

b)

Both Quincy and Roy

c)

Quincy only

d)

Roy only

11.

Georgia listed the numbers below as common multiples of 3 and 4. Which value did Georgia list by mistake?

a)

12

b)

40

c)

48

d)

24

12.

Mr. Anderson is cutting lumber to use as a border around his garden. One piece of lumber is 89ft\frac{8}{9}ft  , while the second piece of lumber is  13ft.\frac{1}{3}ft.   How much longer is the first piece than the second piece?

a)

 129ft1\frac{2}{9}ft  

b)

 76ft\frac{7}{6}ft  

c)

 827ft\frac{8}{27}ft  

d)

 59ft\frac{5}{9}ft  

13.

Solve the question above. Choose the correct SIMPLIFIED answer.

a)

58\frac{5}{8}

b)

3556\frac{35}{56}

c)

21\frac{2}{1}

d)

1215\frac{12}{15}

14.

Solve the problem above. Choose the SIMPLIFIED answer.

a)

 514165\frac{14}{16}  

b)

 6 236\ \frac{2}{3}  

c)

 5235\frac{2}{3}  

d)

 2012\frac{20}{12}  

15.

Ryan drove 5 135\ \frac{1}{3}  miles to the bank,  6 136\ \frac{1}{3}  miles to the post office, and  4164\frac{1}{6}  miles to the park. What is the total distance Ryan drove?

a)

 1123 miles11\frac{2}{3}\ miles  

b)

 1556 miles15\frac{5}{6}\ miles  

c)

 15312 miles15\frac{3}{12}\ miles  

d)

 15 23 miles15\ \frac{2}{3}\ miles  

16.

A rectangular flower garden has a length of  58\frac{5}{8}  of a foot and a width of  212ft2\frac{1}{2}ft  . What is the area of the flower garden?

a)

 2 18 ft2\ \frac{1}{8}\ ft  

b)

5 ft

c)

 1 916 ft1\ \frac{9}{16}\ ft  

d)

 6 14 ft6\ \frac{1}{4}\ ft  

17.
What is the least common multiple (LCM) of 5 and 20?
a)
4
b)
5
c)
20
d)
100
18.
What is the least common multiple (LCM) of 6 and 8?
a)
6
b)
8
c)
48
d)
24
19.
Convert this mixed number to an improper fraction.
a)
3/2
b)
1/2
c)
2/3
d)
11/2
20.
What is the least common multiple (LCM) of 6 and 8?
a)
6
b)
8
c)
48
d)
24
21.
To convert from an improper fraction to a mixed number we use:
a)
Long division
b)
Multiplying and adding
c)
Finding the GCF
d)
Finding the LCM
22.
Look at this mixed number. Can the fraction part be reduced?
a)
Yes
b)
No
23.
Look at this mixed number. Can the fraction part be reduced?
a)
Yes
b)
No
24.
True or false: improper fractions and mixed numbers represent numbers bigger than 1
a)
True
b)
False
25.
Convert this mixed number to an improper fraction.
a)
24/5
b)
14/5
c)
13/5
d)
11/5
26.

True or false: to add or subtract fractions, first we must make the numerators the same

a)

True

b)

False

27.

True or false: after adding or subtracting fractions, we should check to see if the answer can be reduced

a)

True

b)

False

28.

True or false: after adding or subtracting fractions, if we get an improper fraction as our answer, we must convert it to a mixed number

a)

True

b)

False

29.

Find the lowest common denominator of  16\frac{1}{6}  and  59\frac{5}{9}  =

a)

3

b)

9

c)

18

d)

36

30.

Convert  619\frac{61}{9}  to a mixed number.

a)

 6 796\ \frac{7}{9}  

b)

 6 596\ \frac{5}{9}  

c)

 5 795\ \frac{7}{9}  

d)

 6 196\ \frac{1}{9}  

31.

Convert  619\frac{61}{9}  to a mixed number.

a)

 6 796\ \frac{7}{9}  

b)

 6 596\ \frac{5}{9}  

c)

 5 795\ \frac{7}{9}  

d)

 6 196\ \frac{1}{9}  

32.

 25 ×47 =\frac{2}{5}\ \times\frac{4}{7}\ =  

a)

1

b)

 710\frac{7}{10}  

c)

 12\frac{1}{2}  

d)

 835\frac{8}{35}  

33.

 7 34 + 5 14 =7\ \frac{3}{4}\ +\ 5\ \frac{1}{4}\ =  

a)

 12 1412\ \frac{1}{4}  

b)

 2 122\ \frac{1}{2}  

c)

13

d)

 13 1413\ \frac{1}{4}  

34.
Is this a correct answer?
a)
Yes, the student correctly added.
b)
No, you cannot add unlike denominators
c)
No, 5 + 7 is not 12
d)
No, 2 + 3 is not 5
35.
GCF stands for 
a)
Greatest common factor
b)
Greatest common fraction
c)
Giant cat fingernail 
d)
Greatest calculated factor
36.
LCM stands for
a)
Least correct multiple
b)
Latest common multiple
c)
Least common multiple
d)
Laser classroom mouse
37.
multiples for the number 3 include..
a)
4,8,12,16,18,21
b)
3,5,7,9,10,12
c)
3,4,5,6,7,8
d)
3,6,9,12,15,18
38.
Factors of the number 12 include..
a)
1,2,3,4,6,12
b)
12,24,36,42
c)
3,6,9,12
d)
12 has no factors
39.
Who lives in a pineapple under the sea?
a)
Spongebill 
b)
Mr.D
c)
Spongebob 
d)
Nelly Swaggerton
40.
What is a factor of 14
a)
5
b)
7
c)
3
d)
28
41.
what is a multiple of 5? 
a)
33
b)
22
c)
55
d)
11
42.
How can I get a good classwork grade?
a)
get out of seat, distract others
b)
stay in seat, be an angel
c)
don't do homework or classwork
d)
come in late, call out and talk
43.
LCM (9, 12)
a)
9
b)
36
c)
12
d)
3
44.
GCF (25, 15)
a)
5
b)
10
c)
15
d)
20
45.
When multiplying mixed numbers, what is the first thing you need to do?
a)
Find the GCF
b)
Find the LCM
c)
Change the numbers to improper fractions.
d)
Simplify the fractions
46.
When multiplying fractions and mixed numbers, what is the LAST thing you need to do?
a)
Find the common denominator
b)
Divide
c)
Subtract
d)
Simplify or change to mixed number if needed.
47.
Who is this character?
a)
Map
b)
Dora
c)
Swiper
d)
Diego
48.
Who is this character?
a)
Crush
b)
Marlin
c)
Nemo
d)
Dory
49.
Dylan had a whole cupcake in his lunch bag. He ate 1/4 of it. How much does he have left?
a)
1/4
b)
1/2
c)
1/3
d)
3/4
50.
a)
14/16
b)
7/8
c)
8/7
d)
4/10