Answer:
[tex]\frac{-4}{3}[/tex]
Step-by-step explanation:
When subtracting fractions with the same denominator (bottom number[s]) you can treat the numerators (top number[s]) like subtraction with whole numbers.
[tex]-4-8[/tex] is equal to -12. Therefore,[tex]\frac{-4}{9} - \frac{8}{9}[/tex] will equal [tex]\frac{-12}{9}[/tex]. But we're not there yet - this fraction can be simplified. We need to find the GCF, or greatest common factor, of -12 and 9. This would be another number that can be divided evenly into these two numbers. The first possible GCF that comes to mind is 3. Let's test that out:
[tex]-12/3 = -4[/tex]
[tex]9/3 = 3[/tex]
It works! Now we can use this information to simplify the fraction. We replace -12 with -4 and replace 9 with 3. This gives us our final answer, [tex]\frac{-4}{3}[/tex].
