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3 years ago

9/4 plus 2/3 in fraction form please!

Mathematics

1 answer:

nasty-shy [4]3 years ago

8 0

Answer:

The answer would be 35/12 or 2 and 3/4

Step-by-step explanation:

First we need to convert the fractions, so that they have the same denominator. A common denominator is 12. So, we mulitply 4 by 3 (because 4 X 3 = 12) and we do the same thing for 9. This makes the fraction 27/12. Now we mulitply 2/3 by 4 (because 3 X 4 = 12) and we also multiply 4 by 2 which gives us 8/12. Add 27/12 + 8/12 and you get 35/12 which can be simplified to 2 and 3/4.

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RideAnS [48]

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

$( \frac{f}{g} )(2) = \frac{f(2)}{g(2)}$

LHS:

$(\frac{f}{g} )(x) = \frac{ {x}^{2} + 2x - 1}{3x - 2}$

~ Insert "2" instead of "x".

$(\frac{f}{g} )(2) = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}$

Simplify it;

$\frac{f}{g} (2) = \frac{4 + 4 - 1}{6 - 2}$

Therefore; (f/g)(2) = 7/4.

RHS:

$\frac{f(x)}{g(x)} = \frac{ {x}^{2} + 2x - 1}{3x - 2}$

~Insert "2" instead of"x".

$\frac{f(2)}{g(2)} = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}$

Simplify it.

$\frac{f(2)}{g(2)} = \frac{4 + 4 - 1}{6 - 2}$

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

Proved!

Hope it helps!

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