i need to verify if i am doing process correctly. 5 (1/2 - 3 4/5) -2 (1/6 + 4)

Hi Barbara!

5(1/2 - 3 4/5) -2(1/6 +4)

Perhaps the easiest way to do this is first to combine the terms inside the parentheses, but to do that we first have to change the mixed numbers into improper fractions so we can work with them:

3 4/5 becomes 19/5 (that is: 5 times 3, plus 4; and put all of that over 5)

1/6 + 4 becomes 4 1/6 which becomes 25/6 (that is: 6 times 4, plus 1; and put all of that over 6)

So now we have: 5(1/2 - 19/5) -2(25/6)

Now, we need to solve 1/2 -19/5. For that we have to find a common denominator, which could be 10:

1(**5**)/2(**5**) - 19(**2**)/5(**2**) = 5/10 - 38/10 = -33/10

Putting this back into our equation we have 5(-33/10) - 2(25/6) which is looking better!

We can factor out a 5/5 from the first terms and a 3/3 from the second terms and we’ll get

1(-33/2) - 1(25/3) = -33/2 -25/3

Again, we have to find a common denominator which could be 6:

-33(**3**)/2(**3**) -25(**2**)/3(**2**)

Now we have -99/6 - 50/6 = -149/6 or -24 5/6