LAGUARDIA COMMUNITY COLLEGE
Department of Mathematics, Engineering, and Computer Science
MAT 095 – Introduction to Algebra
Lab #5
1. Write the following improper fractions as mixed numbers.
a)
b)
c)
d)
5
1
= 22
2
14
3
17
6
70
9
= ____
= ____
= ____
2. Write the mixed numbers as improper fractions.
2
a) 2 3 =
1
(3×2)+2
3
=
6+2
3
8
=3
b) 3 2 = ____
3
c) 4 4 = ____
2
d) 5 7 = ____
3. List the next five multiples of these numbers.
a) 3 : ___6___, ___9___, __12___, _______, _______
b) 4 : _______, _______, _______, _______, _______
c) 5 : _______, _______, _______, _______, _______
4. Find the least common multiple (LCM) for each list of numbers.
a) 3 and 5
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
5: 5, 10, 15, 20, 25, 30
LCM = 15
b) 6 and 15
6:
15:
LCM =
c) 4, 8, and 12
4:
8:
12:
LCM =
1
5. Write equivalent fractions with the indicated denominator.
a)
b)
c)
d)
2
=
9
11
8
2
3
5
6
36
=
=
=
2
4
8
9
4
36
→ × =
56
15
54
6. Perform the indicated operation and simplify your answer.
a)
b)
c)
d)
e)
1
4
+6=
6
10
1+4
6
3
5
=6
− 12 = ________
12
2
7
5
1
3
+ 7 + 7 = ________
11
10
2
6
7
5
− 11 − 11 = ________
− 18 + 18 = ________
18
7. Perform the indicated operation and simplify your answer.
a)
b)
c)
d)
e)
5
7
5
1
20
7
− 4 = 28 − 28 =
7
20−7
28
13
= 28
+ 12 = __________
8
2
3
3
1
1
+ 4 + 2 = ___________
15
3
2
1
17
5
− 3 − 5 = ___________
+ 30 − 6 = ___________
5
8. Find the area and perimeter of this rectangle. Be sure to include the correct unit of
measurements.
8m
23 m
2
--------------------------------------------------------------------------------------------------------------------Extra Practice Problems: (Optional)
1. Write
61
as mixed number.
8
4
2. Write 5 5 as improper fraction.
3. Find the least common multiple (LCM) for each list.
a) 6 and 8
b) 4, 6, and 9
c) 𝑥𝑦 2 and 𝑥 2 𝑦
d) 4𝑥𝑦 2 and 8𝑥 2 𝑦
4. Perform the indicated operation and leave your answer in reduced form.
a)
b)
c)
d)
e)
18
13
+ 57
57
4
6
19
4
9
3
7
4
5
− 19
1
−6
1
+3
2
1
+3−6
3