Answer:
a) [tex]\frac{-9}{-10}[/tex] b) [tex]\frac{-3}{5}[/tex] , [tex]-\frac{3}{5}[/tex]
Step-by-step explanation:
a) Since the fraction you are dealing with, [tex]\frac{9}{10}[/tex] , is positive, we will need to find a fraction that has either two negative numbers or two positive numbers. The first option, [tex]-\frac{9}{10}[/tex] , the entire fraction is negative, which does not match the given fraction. The second option, [tex]\frac{-9}{10}[/tex] , only one number is negative, and that does not match either. The third option, [tex]\frac{9}{-10}[/tex] , is the same as the second option, only one negative number. However the last option, [tex]\frac{-9}{-10}[/tex] , has both a negative number in the numerator and denominator which both cancel out to [tex]\frac{9}{10}[/tex], making the fraction positive.
b) The fraction we are dealing with here, [tex]\frac{-3}{5}[/tex] , is negative, so we need to find a fraction that has only one negative number. The first option, [tex]\frac{3}{5}[/tex] , has no negative numbers, making it positive, which does not match. The second option, [tex]\frac{3}{-5}[/tex] , has one negative number, which matches our fraction. The third fraction, [tex]\frac{-3}{-5}[/tex] has two negative numbers making the fraction [tex]\frac{3}{5}[/tex], positive, which does not match. Then the last option, [tex]-\frac{3}{5}[/tex] the whole fraction is negative which matches our fraction.
