Answer:
-1/14
Step-by-step explanation:
To simplify the expression, you should first divide up the parts to make it easier. Multiply 1/5 by -5/7 first. When you multiply the two fractions, the fives cancel out since there is a five in both the numerator and the denominator. This leaves us with just -1/7.
[tex]\frac{1}{5} *\frac{-5}{7} =\frac{-1}{7}[/tex]
Now, multiply -1/7 by 2/4. Notice that you can simplify 2/4 to 1/2. You can't cancel out anything in this expression so simply multiply the two fractions.
[tex]\frac{-1}{7} *\frac{1}{2} =-\frac{1}{14}[/tex]
I moved the negative sign from the numerator out front, but you don't have to do that.