Question

reduce -56/-70 to lowest terms
a)8/10
b)-4/5
c)-2/3
d)4/5

Answer 1

are there any numbers which you can divide both -50 and -70 by and have it come out without a remainder?

Answer 2

might help to think of it as factors:

-50 = -1 * 2*5*5
-70 = -1*2*5*7

\[\frac{-1*2*5*5}{-1*2*5*7} = \frac{\cancel{-1*2*5}*5}{\cancel{-1*2*5}*7}=\frac{5}{7}\]

Answer 3

you've got the wrong answer choices up there...

Answer 4

sorry fixed the question

Answer 5

Okay. same approach applies.

Answer 6

-56 = -1 * 2* 2*2*7
-70 = -1*2*5*7
\[\frac{-56}{-70}= \frac{-1*2*2*2*7}{-1*2*5*7} = \frac{2*2}{5} = \]

Answer 7

thanks

Answer 8

You could also do this by successively peeling off factors:

clearly both have -1 as a factor, so -56/-70 = 56/70. now both are even, so we can divide both by 2: 56/70 = 28/35 both of those are divisible by 7, so 4/5 is the final result

Answer 9

thanks, you were right! :)