Question

25/8 divided by (1/3 - 8/9)

Answer 1

First solve the parenthesis
The denominators have to be the same
You can make 1/3 3/9 by multiplying both numerator and denominator by 3 so fraction a and b have the same denominator
Now you can subtract
3/9 - 8/9
When subtacting, only subtract the numerator and keep the same deonimator
3-8 = -5
Place it over the denominator
-5/9
Now you can solve
(25/8) / (-5/9)
When dividing fractions, it's easier to turn the problem into a multiplicatuin problem, and to do this you simply find the reciprocal of the second fraction and change the / to a *
The reciprocal of -5/9 is -9/5
Now (25/8) / (-5/9) becomes
(25/8) * (-9/5)
You can cross cancel

Now you have 5/8 * (-9/1)
Multiply the numerators and the denominators
5 * -9 = -45
8 * -1 = -8
-45/8
Simplify
-5 5/8