- #1

tehmatriks

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Question is:

Evaluate 2/x+2 + 3/2x+1 when x= ½

back of the book says 2 and three tens i.e 2 3/10

Evaluate 2/x+2 + 3/2x+1 when x= ½

back of the book says 2 and three tens i.e 2 3/10

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- Thread starter tehmatriks
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- #1

tehmatriks

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Question is:

Evaluate 2/x+2 + 3/2x+1 when x= ½

back of the book says 2 and three tens i.e 2 3/10

Evaluate 2/x+2 + 3/2x+1 when x= ½

back of the book says 2 and three tens i.e 2 3/10

- #2

spamiam

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2/(x+2) + 3/(2x+1)

and you should get the answer in the back of the book.

- #3

tehmatriks

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this is how im doing it:

2/x+2 + 3/2x+1

=> 2/½+2 + 3/2(½)+1

=> 2/2½ + 3/2, get LCM of 2½ and 2, which is 10

=> 10(2)/2½ + 10(3)/2

=> 4(2) + 5(3)

=> 8 + 15 = 23

and i did it another way where i got 1 1/9

but i can't seem to get 2 3/10

- #4

Mark44

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Did you not understand spamiam's comment about parentheses? You seem to have glossed right over it.i know, i checked the back of the book and it says the answer is 2 3/10

1.Use parentheses when a numerator or denominator (or both) have two or more terms.this is how im doing it:

2/x+2 + 3/2x+1

=> 2/½+2 + 3/2(½)+1

=> 2/2½ + 3/2, get LCM of 2½ and 2, which is 10

=> 10(2)/2½ + 10(3)/2

=> 4(2) + 5(3)

=> 8 + 15 = 23

2. Do not use => (implies) when you mean = (equals).

If x = 1/2, then 2/(x + 2) + 3/(2x + 1) = 2/(5/2) + 3/2 = 2 * 2/5 + 3/2 = 4/5 + 3/2

Now, the LCM of 5 and 2 is 10, so multiply the first fraction by 2/2 and the second by 5/5. After you do this, you will be able to combine the two fractions.

The answer in the book is correct.

and i did it another way where i got 1 1/9

but i can't seem to get 2 3/10

- #5

tehmatriks

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nah, i didn't, i had no idea you had to put it in parentheses when you had more than one term in either the numerator or the denominator.Did you not understand spamiam's comment about parentheses? You seem to have glossed right over it.

nice job, thanks1.Use parentheses when a numerator or denominator (or both) have two or more terms.

2. Do not use => (implies) when you mean = (equals).

If x = 1/2, then 2/(x + 2) + 3/(2x + 1) = 2/(5/2) + 3/2 = 2 * 2/5 + 3/2 = 4/5 + 3/2

Now, the LCM of 5 and 2 is 10, so multiply the first fraction by 2/2 and the second by 5/5. After you do this, you will be able to combine the two fractions.

The answer in the book is correct.

only bit i dont understand is why and how 2/(½+1) became 2/(5/2)

and i apologize for my idiocy thus far

no wait, scratch that, i dont understand anything, forget i asked

Last edited:

- #6

Mark44

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The problem is that when you write 2/x + 2 + 3/2x + 1, knowledgeable people will probably interpret this asnah, i didn't, i had no idea you had to put it in parentheses when you had more than one term in either the numerator or the denominator.

[tex]\frac{2}{x} + 2 + \frac{3}{2x} + 1[/tex]

or even as

[tex]\frac{2}{x} + 2 + \frac{3}{2}x + 1[/tex]

which is not at all what you intended.

You're welcome!nice job, thanks

It didn't, but 2/(1/2 + 2) = 2/(5/2)only bit i dont understand is why and how 2/(½+1) became 2/(5/2)

The goal is to get you to learn from your mistakes.and i apologize for my idiocy thus far

- #7

tehmatriks

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anyway, preciate the help fellas, i've been trying to figure this out for 6+ hrs and was getting alittle depressed, happy now tho, peace

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