Please help me out !

Mathematics

2 answers:

hjlf3 years ago

7 0

Answer:

a) $\frac{-9}{-10}$ b) $\frac{-3}{5}$ , $-\frac{3}{5}$

Step-by-step explanation:

a) Since the fraction you are dealing with, $\frac{9}{10}$ , is positive, we will need to find a fraction that has either two negative numbers or two positive numbers. The first option, $-\frac{9}{10}$ , the entire fraction is negative, which does not match the given fraction. The second option, $\frac{-9}{10}$ , only one number is negative, and that does not match either. The third option, $\frac{9}{-10}$ , is the same as the second option, only one negative number. However the last option, $\frac{-9}{-10}$ , has both a negative number in the numerator and denominator which both cancel out to $\frac{9}{10}$ , making the fraction positive.

b) The fraction we are dealing with here, $\frac{-3}{5}$ , is negative, so we need to find a fraction that has only one negative number. The first option, $\frac{3}{5}$ , has no negative numbers, making it positive, which does not match. The second option, $\frac{3}{-5}$ , has one negative number, which matches our fraction. The third fraction, $\frac{-3}{-5}$ has two negative numbers making the fraction $\frac{3}{5}$ , positive, which does not match. Then the last option, $-\frac{3}{5}$ the whole fraction is negative which matches our fraction.