Question

Compare -2/3, -2/8
Write <, > or =
A. =
B. <
C. >

Answer 1

`\boxed{\bold{< \ -(2)/(8)}}`

Explanation:

Find LCD of the two fractions

LCD = 24

Rewrite fractions

`\bold{-(16)/(24) }` ____
`\bold{-(6)/(24) }`

Just because 6 is smaller than 16, doesn't mean 6 isn't larger. If you have more of something, the portions will be smaller. If you have less of something, the portions will be bigger.

`\bold{-(2)/(3) }` <
`\bold{-(2)/(8) }`