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write the answer in simplest form recall that of translates muliplication 3\5of30

write the answer in simplest form recall that of translates muliplication 3\5 of 30

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Jessica,

Forward slash, /, denotes Normal Division.

Backward slash, \, denotes Integer Division where the remainder is discarded.

E.g., 10/3 = 3 + 1/3; BUT 10\3 = 3.

[see http://mathworld.wolfram.com/IntegerDivision.html]

The point is, Math is a language with grammar and syntax that is a large part of its value. You should learn how to write it correctly so you are not misunderstood.

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3 Answers

3/ 5 * 30 =3 * (1/5 *30) = 3 * 6 =18
 
   3/5 0f 30 , means 3 times 1/5 of 30.
 
    1/5 of 30 = 6   3 * 6 = 18.
  This is probably the translation is asking for.
Hi Jessica,
 
"of" always means you have to multiply
 
3/5 of 30=3/5×30=3×6         (5×6=30)
                          =18     
Hi Jessica;
3/5 of 30...
(3/5)(30)
(3/5)(30/1)
We will multiply numerators together...
(3)(30)
We will multiply denominators together...
(5)(1)
Let's switch numerators...
(30/5)(3/1)
(30/5)(3)
While the fractions now have different values, the results will be same as we will multiply the numerators together and the denominators together.
(30/5)=6 because (5)(6)=30
(6)(3)
18
 
Let's check our results...
(3/5)(30/1)
90/5
(5)(18)=90
90=90