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3 years ago

9/11 - 1/2 in it's simplest form

Mathematics

1 answer:

Murrr4er [49]3 years ago

5 0

Answer:

7/22

Step-by-step explanation:

Step 1: Define/explain.

To subtract fractions with different denominators, you must first find the least common denominator (LCM).

You can do this by listing the multiples of each denominator.

Step 2: Solve.

11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

22 is the LCM.

Now, we change the fractions to where they both have denominators of 22.

**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**

$9/11*2/2=18/22$

$1/2*11/11=11/22$

Now, subtract as normal.

$18/22-11/22=7/22$

$7/22 (simplified).$

Step 3: Conclude.

Therefore, 9/11 - 1/2 = 7/22.

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3 years ago

Divide x4 + 7 by x - 3.. A] x³ - 3x² - 9x - 27 R 88. B] x³ + 3x² + 9x - 27 R -74. C] x³ + 3x² + 9x + 27 R 88

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divide a polynomial p(x) by (x-3). Add and subtract the multiple of (x-3) that has the same highest-power term as p(x), then simplify to get a smaller-degree polynomial r(x) plus multiple of (x-3). 

The multiple of (x-3) that has x^4 as its leading term is x^3(x-3) = x^4 - 3x^3. So write: 

x^4 + 7 = x^4 + 7 + x^3(x - 3) - x^3(x - 3) 
= x^4 + 7 + x^3(x - 3) - x^4 + 3x^3 
= x^3(x - 3) + 3x^3 + 7 

That makes r(x) = 3x^3 + 7. Do the same thing to reduce r(x) by adding/subtracting 3x^2(x - 3) = 3x^3 - 9x^2: 

= x^3(x - 3) + 3x^3 + 7 + 3x^2(x - 3) - (3x^3 - 9x^2) 
= x^3(x - 3) + 3x^2(x - 3) + 9x^2 + 7 

Again to reduce 9x^2 + 7: 
= x^3(x - 3) + 3x^2(x - 3) + 9x^2 + 7 + 9x(x - 3) - (9x^2 - 27x) 
= x^3(x - 3) + 3x^2(x - 3) + 9x(x - 3) + 27x + 7 

And finally write 27x + 7 as 27(x - 3) + 88; 
x^4 + 7 = x^3(x - 3) + 3x^2(x - 3) + 9x(x - 3) + 27(x - 3) + 88 

Factor out (x - 3) in all but the +88 term: 
x^4 + 7 = (x - 3)(x^3 + 3x^2 + 9x + 27) + 88 

That means that: 
(x^4 + 7) / (x - 3) = x^3 + 3x^2 + 9x + 27 with a remainder of 88

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3 years ago

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Step-by-step explanation:

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(2) We can name angles by using the vertex. For example, ABC, can also be called angle B; the same applies to DEF (we can call angle DEF angle E). Of course, if there's more than one angle sharing the same vertex this would be confusing!
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3 years ago

9/11 - 1/2 in it's simplest form​

9/11 - 1/2 in it's simplest form