Problem

Perform the operations and, if possible, simplify…

02:50

Problem 71 Medium Difficulty

Perform the operations and, if possible, simplify.
$$
\frac{2}{3}+\frac{5}{18}-\frac{1}{6}
$$

Answer

$\frac{7}{9}$

Related Courses

Algebra

Elementary and Intermediate Algebra

Chapter 1

An Introduction to Algebra

Section 2

Fractions

Discussion

You must be signed in to discuss.

Top Algebra Educators

Watch More Solved Questions in Chapter 1

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Problem 83

Problem 84

Problem 85

Problem 86

Problem 87

Problem 88

Problem 89

Problem 90

Problem 91

Problem 92

Problem 93

Problem 94

Problem 95

Problem 96

Problem 97

Problem 98

Problem 99

Problem 100

Problem 101

Problem 102

Problem 103

Problem 104

Problem 105

Problem 106

Problem 107

Problem 108

Problem 109

Problem 110

Problem 111

Problem 112

Problem 113

Problem 114

Problem 115

Problem 116

Problem 117

Problem 118

Problem 119

Problem 120

Problem 121

Problem 122

Problem 123

Problem 124

Video Transcript

this tutorial goes through Question 71 from chapter one section to practice. We're told to perform the given operations and simplify it possible while my operations are addition and subtraction. But before it can do any of that, I need to make sure my denominators are the same. So I have to find the LCD. Well, if I look at these three members, I know that 18 is a multiple of three and a multiple of six. So my Elsie Lee, it's going to be a tune. And if you don't know your multiples and you could just list them until you come to a common factor are common multiple, or you could prime factor them and go from there. But these two are relatively small, and I know they both go into 80. So now I'm going to create. I'm gonna build equivalent fractions by multiplying his powers with a form of one in order to build, uh, fraction with the whole city of 18. So what times three is 18? Well, if you do 18 divided by three, you get the missing factor, which is six. So my form of one is 6/6 and to multiply fractions. Will you do the product of the numerator, which is to 10 6 equals Well, on that, we already have the denominator. So I am going to rewrite this equivalent fraction in my problem. Now I'm going to do the same thing with my second fraction, which is 5/18 0 no, I don't have to do with 5 18 Number was already has it. There we go. Okay, So now, now. Now I'm gonna do it with my satisfaction. Have lenses, and I'm going to multiply by a form of one to build a fraction that's equivalent with the denominator of 18. So I already know my missing factor because it's the one I used for the previous conversion. So it's six times three. Somebody is the form of 13 overthrew? Well, one times three is still. So we have probate inks plus 5/18 minus three agents. And the order of operation tells us to go from toe, add and subtract from left to right. So first I'm going to add 12 18th splits. Five rotates on that business 17 18th. And now I can perform this operation which is attraction 17 30 17 18 minus 3 18 Yes, 14 beauty and I'm gonna write the prime factors of prime factor form of this. So two times seven is 14 and now you two times nine. So two times, three times three is the prime factor form of 18. And they have the common factor. So now I'm left with 7/3 times three is nine and that there's my simplified cancer.

We have video lessons for 94.35% of the questions in this textbook