Question

What is 5 1/3 · (–4 4/5 )?

A. –25 3/5

B. –20 4/15

C. 20 4/15

D. 25 3/5

Answer 1

ah we meet again panda...

I'm going to assume you remember the process of multiplying mixed fractions:

how do we get this into an improper fraction?:\[-4 \frac{ 4 }{ 5 }\]

Answer 2

hint:
(-4 x 5 ) -4 = -4 4 /5

Answer 3

(-4 x 5) - 4 over 5 *

Answer 4

\[-4 \frac{ 4 }{ 5 }= \frac{ 5·-4 }{ 5 }=\frac{ -20+4 }{ 5 }\]

Answer 5

-20 - 4 = -24/5
-24/5 = -4 4/5

Answer 6

This time around, it's a bit different,. as one of the mixed numbers are negative.
\[-4\frac{ 4 }{ 5 } = - (4 + \frac{ 4 }{ 5 }) = -(\frac{ 20 }{ 5 })\]

Answer 7

whoops the last bit didn't go through \[-(\frac{ 20 }{ 5 } + \frac{ 4 }{ 5 })\]

Answer 8

so it would be \[-\frac{ 16 }{ 5 }\]

Answer 9

If you're following PEDMAS or something like that, you would do the bit in the parentheses first

Answer 10

Thank you. :)

Answer 11

Glad to help :D
Do you want to continue through to the end?

Answer 12

yes

Answer 13

Les do dis.

Since we know that -4 4/5 = -24/5
we have to find 5 1/3 as an improper fraction before we can multiply

Answer 14

Are you having any hesitations about getting 5 1/3 into fractional form?

Answer 15

no i just had to get my food i am almost done

Answer 16

oh no problem. Eat and do whatever. I'll be here

Answer 17

\[\frac{ 3*5 }{ 3 }=\frac{ 15+1 }{3}\]

Answer 18

yep. so now we have \[\frac{ 16 }{ 3 }* -\frac{ 24 }{ 5 }\]

Answer 19

\[-\frac{ 384 }{ 24 }\]

Answer 20

right?

Answer 21

yeah. and you can simplify that by dividing by 24 to get 16/1 but that's not especially necessary methinks

Answer 22

so what would the answer be A B C D

Answer 23

whoops, you weren't right in the multiplication step.

the denominator is 5*3 = 15 so it's -384/15

Answer 24

so would it be A. \[-25 \frac{ 3 }{ 5 }\]

Answer 25

Yeah. Sorry for not crosschecking it earlier :/

Answer 26

thats ok