Problem

What are equivalent fractions? Give an example.

02:53

Problem 118 Hard Difficulty

To multiply two fractions, must they have like denominators? Explain.

Answer

the denominators need not be the same.

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

So this goes through Problem 118 from chapter one, Section two and the question asks, Do fractions have to have the same denominator in order to multiply them? And if you think about what fraction operations really are asking, then it makes sense that when you multiply a fraction, it does not have the fractions. They do not have to have the same denominator, so no, they don't. And this is why when you are finding a total or a difference when when you're adding us attracting, then you're finding a combination or ah, difference of the same things. So when you're out of your subtracting your fractions, acting as a unit, so let's say I have ah, you know, Person A has two dogs, and Person B has three dogs. How many total dogs are there? So together there are five dogs. So when you're adding fractions or subtracting fractions, you have to have the same denominator because in that case, your denominators function as your unit. So if I said okay, well, person A has two cats and Person B has three dogs. I can't say well together. They have five cat dogs that doesn't make any sense because the units are different. So you have to convert into the same units. And that's really what you're what you're looking at. Um, So, uh, when you're adding extra tacky, that's why they dio. But when you're multiplying or dividing, you're looking at an amount. So how much of something is something else? So in this case, let's say I have, um, box of I don't know, box of pizza. Let's say there it's It's square cut on. And I have I have this pizza cut into four pieces on. I want to know, Hey, if I give, um, if I give you half of that and how many pieces are gonna be left? So you're dealing with a whole or some amount and then you're looking for part of it. So you're units are already the same because you're looking for amount of one sayings. You don't have different units here, so if you say I want 1/2 of these four pieces, then that's gonna be to sew. Two pieces are half of the whole. So you're looking at it's not too different units you're looking at. How many of that one you know you have. And that is why, for multiplying fractions, your denominators do not have to do the same

Get More Help with this Textbook