## anonymous one year ago Perform the indicated operation. 2/3 + 3/8

1. AbdullahM

make sure that both fractions have the same denominator.

2. AbdullahM

What is the least common multiple of 3 and 8?

3. anonymous

2?

4. AbdullahM

Do you know what multiples are?

5. anonymous

no..

6. AbdullahM

Multiples of 3: 3, 6, 9, 12, 15, 18, 21... and so on

7. AbdullahM

What are the multiples of 8?

8. anonymous

16 24 and 32?

9. AbdullahM

so the least common multiple would be 24

10. anonymous

why wouldnt it be 16? because thats the lowest other than 8

11. AbdullahM

But is 16 divisible by 3? No.

12. anonymous

oh okay i get that

13. AbdullahM

$$\sf\Large\left(\frac{2}{3} \times\frac{8}{8}\right)+\left(\frac{3}{8}\times\frac{3}{3}\right)=?$$

14. AbdullahM

Hint: $$\sf\Large\frac{a}{b}\times\frac{c}{d}=\frac{a~\times~ b}{c ~\times~ d}$$

15. anonymous

16/24 + 9/24

16. anonymous

@AbdullahM so 25/24

17. AbdullahM

correct and that is 1 1/24

18. anonymous

@AbdullahM how do you get it like that though?

19. AbdullahM

because $$\sf\Large\frac{25}{24} =\frac{24+1}{24}=\frac{24}{24}+\frac{1}{24}=1\frac{1}{24}$$

20. anonymous

@AbdullahM oh okay i get that, thanks a lot