find the multiplicative inverse of 3/2? explain.

is it -3/2?

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

So what do you think is the inverse now?

@mcnabkt

hmmm

im still confused

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

Just switch the numbers

ohh 2/3

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

1/2?

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

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

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

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

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

so i put 13/1 for the answer?

Or you can just put 13

oh i can lol

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

17/4 not 2

remember the reciprocal of the number is its multiplicative inverse

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

yes

that is what a reciprocal is

ohh okay well i need help with a couple more

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

yes

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

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

OH

hold on i got a few more

i got 10 out of 10

Hooray.

lol i was surprised

do you understand product of fractions?

yes

okay good cause thats what im doing now

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

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

Yup..

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

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

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

yay i was right

No you put -3/28 not 3/28

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

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

ohh i guess i forgot to work it out

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

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

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

oh i forgot to simplify i guess

Also the - sign

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

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

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