Question

find the multiplicative inverse of 3/2? explain.

Answer 1

is it -3/2?

Answer 2

The multiplicative inverse of a fraction a/b is b/a.

Answer 3

So what do you think is the inverse now?

Answer 4

@mcnabkt

Answer 5

hmmm

Answer 6

im still confused

Answer 7

\[\frac{ a }{ b }=\frac{ 3 }{ 2 }\]
\[\frac{ b }{ a }=\frac{ ? }{ ? }\]

Answer 8

Just switch the numbers

Answer 9

ohh 2/3

Answer 10

\[\frac{ a }{ b } \times \frac{ b }{ a }=1\]
and
\[\frac{ 3 }{ 2 }\times \frac{ ? }{ ? }=1\]

Answer 11

1/2?

Answer 12

The number and its multiplicative inverse always multiply together to equal 1

Answer 13

\[\frac{ 3 }{ 2 }\times \frac{ 2 }{ 3 }=1\]

Answer 14

okay well what about the multiplicative inverse for 1/13? would it be 13/1?

Answer 15

Exactly.. Also remember any number is the same thing as over one

Answer 16

For example\[5=\frac{ 5 }{ 1 }\]

Answer 17

so i put 13/1 for the answer?

Answer 18

Or you can just put 13

Answer 19

oh i can lol

Answer 20

uhmm 4/17 would be.... 2?

Answer 21

17/4 not 2

Answer 22

remember the reciprocal of the number is its multiplicative inverse

Answer 23

ughh well you just said or you can.. nvm different problem LOL so i just switch the numerator and denominator?

Answer 24

yes

Answer 25

that is what a reciprocal is

Answer 26

ohh okay well i need help with a couple more

Answer 27

what about multiplicative inverse of a fraction? wait were we just going over this topic?

Answer 28

yes

Answer 29

oh okay see i told you its very hard of me understanding lol

Answer 30

For the multiplicative inverse of a number such as 5 imagine it as 5/1 and then its multiplicative inverse is 1/5

Answer 31

OH

Answer 32

hold on i got a few more

Answer 33

i got 10 out of 10

Answer 34

Hooray.

Answer 35

lol i was surprised

Answer 36

do you understand product of fractions?

Answer 37

yes

Answer 38

okay good cause thats what im doing now

Answer 39

how are you so smart? and what GPA do you have lol

Answer 40

okay so 2/7 x 1/3 would be 2/21?

Answer 41

Yup..

Answer 42

multiplication in fractions\[\frac{ a }{ b }\times \frac{ x }{ y }=\frac{ ax }{ by }\]

Answer 43

what about -1/4x (-3/7)? would it be -3/28?

Answer 44

\[\frac{ -1 }{ 4 }\times \frac{ -3 }{7 }=\frac{ -1\times-3 }{ 4\times7 }=\frac{ 3 }{ 28 }\]

Answer 45

yay i was right

Answer 46

No you put -3/28 not 3/28

Answer 47

what about 2 1/4 x 1 3/8? i got 2 3/32 and it was wrong and i put 3/28 and got it right lol idk my class thing is a little weird it says its wrong when its right and right when its wrong

Answer 48

\[2 \frac{ 1 }{ 4}=\frac{ 9 }{ 4 }\]
\[1 \frac{ 3 }{ 8}=\frac{ 11 }{ 8 }\]
\[\frac{ 9 }{ 4 }\times \frac{ 11 }{ 8 }=\frac{ 9\times11 }{ 4 \times8 }=\frac{ 99 }{ 32 }\]

Answer 49

ohh i guess i forgot to work it out

Answer 50

i dont usually work my problems out like that but im supposed to

Answer 51

- 1/6 x (- 3/4) how is -3/24 wrong?

Answer 52

\[\frac{ -1 }{ 6 }\times \frac{ -3 }{ 4 }=\frac{ -1\times-3 }{ 6\times4 }=\frac{ 3 }{ 24 }=\frac{ 1 }{ 8 }\]

Answer 53

oh i forgot to simplify i guess

Answer 54

Also the - sign

Answer 55

\[\frac{ 3 }{ 24}\neq \frac{ -3 }{ 24 }\]

Answer 56

-2 2/3 x 4 2/5 would be... -8 4/15? then i simplify it and i get