## anonymous one year ago simple fraction problem!

1. anonymous

(1/3 + 5/8) x 4/5 =

2. anonymous

3. freckles

hello!

4. freckles

you can find a common denominator to add the fractions inside the ( )

5. anonymous

how

6. freckles

hint:3 and 8 both go into 24

7. anonymous

then you change both of the denominator too 24

8. freckles

yes but whatever you multiply the bottoms to get that 24 you will also have to multiply that same number to the top

9. freckles

example" $\frac{1}{3} =\frac{1 \cdot 8 }{3 \cdot 8}=\frac{8}{24}$

10. freckles

you write the other fraction as some number over 24

11. freckles

$\frac{5}{8}=\frac{5 \cdot ?}{8 \cdot ?}=\frac{-}{24}$

12. anonymous

5/24

13. freckles

well no 5 times 3 isn't going to be 5

14. anonymous

15/24

15. freckles

$\frac{5}{8} =\frac{ 5 \cdot 3}{8 \cdot 3}=\frac{15}{24}$ right

16. freckles

$(\frac{1}{3}+\frac{5}{8}) \frac{4}{5} \\ (\frac{8}{24}+\frac{15}{24})\frac{4}{5} \\ (\frac{8+15}{24})\frac{4}{5}$

17. freckles

now find the sum of 8 and 15

18. freckles

then when done you can reduce then multiply or multiply then reduce

19. anonymous

well 8 does not go into 15

20. freckles

why are you dividing 15 by 8?

21. freckles

+ means add or to find the sum

22. anonymous

oh...

23. anonymous

ik

24. freckles

well have you done 8+15 yet?

25. freckles

|dw:1441049136428:dw| which should make sense since if you start with 8 apples and you are given 15 more apples then you should have 23 apples.

26. freckles

$(\frac{1}{3}+\frac{5}{8}) \frac{4}{5} \\ (\frac{8}{24}+\frac{15}{24})\frac{4}{5} \\ (\frac{8+15}{24})\frac{4}{5} \\ \frac{23}{24} \cdot \frac{4}{5} \\ \frac{4}{24} \cdot \frac{23}{5} \text{ multiplication is commuative }$ cam you reduce 4/24?