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Morgarella [4.7K]
3 years ago
10

How to divide a negative number by a positive mixed fraction

Mathematics
1 answer:
lesya [120]3 years ago
7 0
Flip the second fraction and then multiply across, first the numerators, then the denominators. Simplify if necessary. If one fraction is negative, (or, if you are dividing multiple fractions and an odd amount of them are negative), then make your answer negative.
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The length of the ribbon is 8/9 meter and sun yi needs pieces measureing 1/8. What is the greatest number of pieces measureing 1
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multiply both the top and bottom by 9 1/8=9/72
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How many unit cubes are in this rectangular prism?<br> A) 16 <br> B) 32 <br> C) 80 <br> D) 128
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4 years ago
I need help please somebody answer ASAP please I’d highly appreciate it
ss7ja [257]

Answer:

2.(b) w= 3

3. x= -3 or x= 3

Step-by-step explanation:

2.(b) <u>Method 1:</u>

\frac{2w - 1}{5}  + w + 2 = 2w \\  \frac{2w - 1}{5}  = 2w - w - 2 \\

Simplify:

\frac{2w - 1}{5}  = w - 2

×5 on both sides:

2w - 1 = 5(w - 2)

Expand:

2w - 1 = 5w - 10

Bring constants to 1 side, w terms to the other:

5w - 2w = 10 - 1

Simplify:

3w = 9

Divide both sides by 3:

w = 9 \div 3 \\ w = 3

<u>Method 2:</u>

\frac{2w - 1}{5}  + w + 2 = 2w

Multiply by 5 throughout:

2w - 1  + 5(w + 2) = 5(2w)

Expand:

2w - 1 + 5w + 10 = 4w

Simplify:

7w - 9 = 4w

+9 on both sides:

7w = 4w + 9

-4w on both sides:

7w - 4w = 9

Simplify:

3w = 9

Divide by 3 on both sides:

w = 3

3. \frac{6x - 12}{3}  + 4 =  \frac{18}{x}

Multiply by 3x on both sides:

\frac{3x(6x - 12)}{3}  + 3x(4) =  \frac{3x(18)}{x}  \\  x(6x - 12) + 12x = 3(18)

Expand:

x(6x) - x(12) + 12x = 54 \\ 6x^{2}  - 12x + 12x = 54 \\

Simplify:

6 {x}^{2}  = 54

Divide by 6 on both sides:

{x}^{2}  = 9

-9 on both sides:

{x}^{2}  - 9 = 0

Factorise:

*Since a²-b²= (a +b)(a -b),

{x}^{2}  -  {3}^{2}  = 0 \\ (x + 3)(x - 3) = 0

Thus,

x +3= 0 or x -3= 0

x= -3 or x= 3

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Answer: d

Step-by-step explanation:

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