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4 years ago

4 7/12 - 2 1/6 simplified

Mathematics

2 answers:

n200080 [17]4 years ago

8 0

Answer:

5/12

Step-by-step explanation:

12/6 can be written as 42/12 by multiplying 2 on both sides

47/12-42/12 =5/12

BARSIC [14]4 years ago

4 0

Hey there!

4 7/12 = 55/12

2 1/6 = 13/6

55/12 – 13/6 =

13 * 2 = 26

⬆️ ⬇️ Solving for your numerators

55 * 1 = 55

6 * 2 = 12

⬆️ ⬇️ Solving for your denominator

12 *1 = 12

LCD: 12

↪️ 55/12 - 26/12 = ?

55 - 26 = 29

29 ➡️ your numerator

The denominator stays the same.

Thus your answer is: 29/12 or you could simply say 2 5/12 both are correct so any should work !

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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3 years ago

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4 years ago

Can anyone help me solve this? Please and thank you!

AveGali [126]

It's the sum of a geometric sequence.

Let's rewrite it a bit:

$\displaystyle\\\sum_{n=1}^{10}8\left(\dfrac{1}{4}\right)^{n-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot \left(\dfrac{1}{4}\right)^{-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot 4=32\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n$

And now let's calculate this sum $\displaystyle \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n$ :

$S_n=\dfrac{a(1-r^n)}{1-r}\\\\a=\dfrac{1}{4}\\n=10\\r=\dfrac{1}{4}\\\\S_{10}=\dfrac{\dfrac{1}{4}\cdot\left(1-\left(\dfrac{1}{4}\right)^{10}\right)}{1-\dfrac{1}{4}}=\dfrac{\dfrac{1}{4}\cdot\left(1-\dfrac{1}{1048576}\right)}{\dfrac{3}{4}}=\dfrac{\dfrac{1048575}{1048576}}{3}=\dfrac{1048575}{3145728}=\\=\dfrac{349525}{1048576}$

Now let's calculate the initial sum:

$\displaystyle 32\cdot \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n=32\cdot \dfrac{349525}{1048576}=\dfrac{349525}{32768}\approx10.67$

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2 years ago