## Zale101 2 years ago Add and Simplify. -11 2/3 + 7 5/8= ?

1. Zale101

I'm adding -11+7 ,but what do I do with the fractions?

2. robz8

find the least common denominator for 2/3 and 5/8

3. robz8

to do that, you need to find what common number are 3 and 8 multiples of

4. Zale101

Can you show me how to solve it step by step please?

5. robz8

okay, so you have -11 2/3 + 7 5/8, so you were on the right track doing 7-11 first, but remember that 2/3 is actually negative since it is part of -11 2/3... so 7-11 is -4... and you need to add -2/3 + 5/8 so to add -2/3 and 5/8 you need to find the fractions least common denominator (LCD) looking at the denominators 3 and 8, we can see that 24 is the smallest number that 3 and 8 are both factors of. so -2/3 == -16/24, and 5/8 == 15/24. now just add -16/24 and 15/24 which == -1/24 and to finish it, add -1/24 to -4 and we get -4 1/2

6. robz8

sorry, -4 1/24 is the answer

7. Zale101

Ok, so i have to subtract 7-11(it's subtract because 11 is negative) to get -4 and 2/3+5/8. So it deals with fractions then, thanks. I know how to solve fractions, i just wanted to make sure. Thanks again.

8. robz8

make sure that you keep 2/3 NEGATIVE when you add -2/3 + 5/8

9. Zale101

yes, Thanks

10. robz8

yw