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UNO [17]
3 years ago
8

How do you divide mixed fractions

Mathematics
2 answers:
defon3 years ago
7 0

To divide fractions, we can use a method called "copy dot flip."

Let's say we were given 1/4 ÷ 1/2.

Copy: the first fraction.

Dot: change from dividing to multiplying.

Flip: take the reciprocal of the last fraction.

________

Copy: 1/4

Dot: · (×)

Flip: 2/1

Now, write as an equation.

1/4 · 2/1

________

Now, to multiply fractions, you multiply the number right next to it.

\frac{1*2}{4*1}

Simplify.

2/4 or 1/2

________

Best Regards,

Wolfyy :)

Lelu [443]3 years ago
3 0

Answer:

Step-by-step explanation:

You first need to make the fraction improper

then divide

Example:

2 and 1/2 divided by 1 and 2/4

5/2 divided by 6/4

5/2 times 4/6

20/12

10/6

5/3

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The only contents of a container are 10 disks that are each numbered with a different positive integer from 1 through 10, inclus
allsm [11]

First we calculate for the total number of possibilities (permutation) to select 4 disks from the container:

Total number of possibilities = 10 * 9 * 8 * 7

Total number of possibilities = 5040

<span>
Now let us find the 4 disks that will result in a range of 7. </span>

Range = highest number – lowest number

The pair of highest and lowest number that will result in range of 7 is: (1 & 8), (2 & 9), (3 & 10)

 

As a basis of calculation, let us use the pair 1 & 8.

There are four possible ways to select 1 and three for 8.

Arrangements of maximum and minimum pair = 4 * 3

Arrangements of maximum and minimum pair=12

Now we need to calculate for the remaining 2 disk. There are 6 numbers between 1 & 8. The total possibilities for selecting 2 disk from the remaining 6 is:

Possibilities of selecting 2 disk from remaining 6 = 6 * 5

Possibilities of selecting 2 disk from remaining 6 = 30

Therefore, the total possibility to get a range of 7 from a pair of 1 & 8 is:

Total possibility for a pair = 12 * 30

Total possibility for a pair = 360

 

Since there are a total of three pairs (1 & 8), (2 & 9), (3 & 10):

Total possibilities of the 3 pairs = 360 * 3

Total possibilities of the 3 pairs = 1080

 

Therefore:

Probability = Total possibilities of the 3 pairs / Total number of possibilities

<span>Probability = 1080 / 5040 = 3 / 14                      (FINAL ANSWER)</span>

6 0
3 years ago
The length of a rectangle is 4 meters more than the width of the rectangle. The perimeter of the rectangle is 40 meters. What ar
Rashid [163]

Answer:

Length = 12 m, Width = 8 m

Step-by-step explanation:

Let the width of the rectangle is b.

Length, l = 4+b

The perimeter of the rectangle = 40 m

We know that,

Perimeter of rectangle = 2(l+b)

2(4+b+b) = 40

4+2b = 20

Subtract 2 from boths sides,

2b = 16

b = 8

Width = 8 m

Length = 4+8 = 12 m

Hence, the length and the width of the rectangle is 12 m and 8 m respectively.

6 0
2 years ago
Log7^x-log7^3=1 <br>if anyone can help me with this problem please help me
vagabundo [1.1K]
Log7 (x+3) - log7 (x-3) = 1
log7 [(x+3) / (x-3)] = 1
raise both sides to power of 7
(x+3) / (x-3) = 7
7x – 21 = x + 3
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5 0
3 years ago
A line passes through the point (1,4) and is perpendicular to the line with equations y=-1/5x+2. what's the equation of the line
jekas [21]

To find the slope of the perpendicular line, you can take the negative reciprocal of the slope of the line it is perpendicular to.

Taking the negative reciprocal of -1/5 gives 5.

Now we have y=5x+b, where b is the y-intercept. Since we know that the perpendicular line passes through the point (1,4), we can substitute those values into the equation we have to find b.

y=5x+b

4=5(1)+b

4=5+b

b=-1

Therefore, the equation of the perpendicular line is y=5x-1.

4 0
3 years ago
Help me please ty ty
julsineya [31]

Answer:

A

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x² + 4x - 6 - (6x³ - 5x² - 2) ← distribute parenthesis by - 1

= 3x² + 4x - 6 - 6x³ + 5x² + 2 ← collect like terms

= - 6x³ + 8x² + 4x - 4

3 0
2 years ago
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