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

- moazzam07

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- schrodinger

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- anonymous

Set up the two fractions together like this

- anonymous

Sorry, my equation tool isn't working

- anonymous

Set up 4/5 = 1/10

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## More answers

- moazzam07

ok

- 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

- moazzam07

i dont get it

- moazzam07

oh ok

- moazzam07

i got it

- anonymous

\[\frac{ 4 }{ 5 } = \frac{ 1 }{ 10 }\]

- moazzam07

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

- anonymous

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

- anonymous

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

- moazzam07

yes

- 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

- moazzam07

ok

- moazzam07

so multiply both sides by 10?

- anonymous

So\[\frac{ 1 }{ 10 } \times \frac{ 10 }{ 1 } = \frac{ 4 }{ 5 } \times \frac{ 10 }{ 1 }\]

- moazzam07

1 = 40/5

- anonymous

Yes, which should reduce to 8

- moazzam07

1=8

- anonymous

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

- moazzam07

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

- anonymous

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

- moazzam07

ok

- moazzam07

got it

- 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

- moazzam07

i think its add 3 to both sides

- moazzam07

\[\frac{ 3 }{ 4 } x - 3 - 18\]

- moazzam07

i mean 3 = -18

- anonymous

Then yes, it should be add 3 to both sides

- moazzam07

yay ok

- 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

- 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?

- anonymous

Two negatives and two positives both return a positive number

- moazzam07

2 over 3

- anonymous

Nope, 2 divided by three would be positive

- 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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