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## Math Tutor - College Instructor w/Eng & Instruc Design degrees

### South Jordan, UT (84095)

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# Richard's Responses in WyzAnt Answers

#### 8 3/5 divide by 3 1/2 =

43/ 5      7/2  and where do I go from here?

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Asked by Gwen from Bangor, ME
00

First, invert (get the reciprocal of ) 7/2 to get 2/7.  Then multiply 43/5 times 2/7.

With the multiplication of fractions, you multiply all of the numerator number and multiply all the denominator numbers.

so multiply 43 times 2 for the numerator, = 86

multiply 5 times 7 for the denominator, = 35

so you get 86/35.  They will want the answer in mixed number format, because that's the form the original numbers were in.  So you should convert 86/35 to 2 and 16/35.

#### SAT Prep Ratio Word Problem

The eggs in a certain basket are either white or brown. If the ratio of the number of white eggs to the number of brown eggs is 2/3, each of the following could be the number of eggs in the basket EXCEPT...:

a) 10

b)12

c)15

d)30

e)60

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Asked by Annie from Estill, SC
00

The key to understanding this and solving it is to not get trapped into thinking that you just need to multiply the optional answers by 2/3 and see that generates a number with a fractional remainder.

If there are 2 white eggs to every 3 brown, then view the color proportions as fraction of 5.  In the case of whites, there are 2 out of 5; with brown, there are 3 out of 5.  To maintain that ratio with larger overall number of eggs, the total number of eggs needs to be a multiple of 5.  The number 12 is the only one that fits that.

Hope that helps.  Essentially, another way to say what Crystal has said.  Nice job Crystal.

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