## moazzam07 one year ago At Sami's Shoe Warehouse, it takes fraction 4 over 5 of a day to complete fraction 1 over 10 of an order of sneakers. At this rate, how long will it take to complete the entire order of sneakers? 6 days 8 days Mixed number 11 and 1 over 4 days Mixed number 12 and 1 over 2 days

1. anonymous

Set up the two fractions together like this

2. anonymous

Sorry, my equation tool isn't working

3. anonymous

Set up 4/5 = 1/10

4. moazzam07

ok

5. anonymous

The left is the amount of time it takes to do the work, the right is the amount of work done right? So you want your 1/10 to equal 10/10 or 1

6. moazzam07

i dont get it

7. moazzam07

oh ok

8. moazzam07

i got it

9. anonymous

$\frac{ 4 }{ 5 } = \frac{ 1 }{ 10 }$

10. moazzam07

so what should i do to turn 1/10 into 10/10

11. anonymous

What can you do to 1/10 to make it equal to 1?

12. anonymous

Well if 1/10 means one part of ten, you would want to multiply it by ten

13. moazzam07

yes

14. anonymous

And since we have 4/5 and 1/10 as a part of the same equation, we have to do the same thing to the left as we do to the right

15. moazzam07

ok

16. moazzam07

so multiply both sides by 10?

17. anonymous

So$\frac{ 1 }{ 10 } \times \frac{ 10 }{ 1 } = \frac{ 4 }{ 5 } \times \frac{ 10 }{ 1 }$

18. moazzam07

1 = 40/5

19. anonymous

Yes, which should reduce to 8

20. moazzam07

1=8

21. anonymous

And we remember the one should now equal one load of sneakers equals eight days of work

22. moazzam07

Thank you, i have 24 more questions can you help?

23. anonymous

I can offer advice, but I won't solve them all for you. Find one of the harder ones

24. moazzam07

ok

25. moazzam07

got it

26. moazzam07

What is the first step needed to solve 3 over 4 the whole multiplied by x minus 3 equal negative 18? Add 3 to both sides Subtract 18 from both sides Multiply both sides by 3 Divide both sides by 4

27. moazzam07

i think its add 3 to both sides

28. moazzam07

$\frac{ 3 }{ 4 } x - 3 - 18$

29. moazzam07

i mean 3 = -18

30. anonymous

Then yes, it should be add 3 to both sides

31. moazzam07

yay ok

32. moazzam07

then i got Which fraction is equivalent to negative 2 over 3? 2 over negative 3 negative 3 over 2 negative 2 over negative 3 2 over 3

33. anonymous

Negative signs on fractions can be pulled out. Think of it as a division problem instead of a fraction -2/3 is going to return a negative number, right?

34. anonymous

Two negatives and two positives both return a positive number

35. moazzam07

2 over 3

36. anonymous

Nope, 2 divided by three would be positive

37. anonymous

If there is one negative in the equation, it will be negative, so it should be 2 over negative 3

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