solve this

(-1 2/3)/(-2 1/2)

I know the end result is 2/3 but how do I get there? Please help

(-1 2/3)/(-2 1/2)

-1 2/3 = -(5/3)
-2 1/2 = -(5/2)

-(5/3) * -(2/5) = 10/15 = 2/3

thank you so much... :)

You are very welcome.

To solve the expression (-1 2/3)/(-2 1/2), we can follow these steps:

Step 1: Convert the mixed numbers to improper fractions.
(-1 2/3) becomes (-3/3 + 2/3) = (-5/3)
(-2 1/2) becomes (-4/2 + 1/2) = (-5/2)

Step 2: Invert the second fraction and change the division to multiplication.
The expression now becomes (-5/3) * (-2/5)

Step 3: Multiply the numerators together and the denominators together.
(-5 * -2) / (3 * 5) = 10/15

Step 4: Simplify the fraction.
The greatest common divisor of 10 and 15 is 5. Divide both the numerator and denominator by 5.
(10/5) / (15/5) = 2/3

Therefore, the expression (-1 2/3)/(-2 1/2) simplifies to 2/3.