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Trava [24]
3 years ago
15

What Is 3 2/6- 2/3?

Mathematics
2 answers:
stira [4]3 years ago
8 0
Okay, so don't worry about the whole number, 3, just yet. What you do is find a common denominator for the two fractions. You don't need to change 2/6, but you need to change 2/3 because you can multiply the bottom by 2 to equal 6 which gives you a common denominator. So you multiply 2/3 by two on both bottom and top, and you get 4/6. Now, you can subtract 2/6-4/6. You may have noticed a problem. You get a negative if you subtract the top. Here's how you fix that: Take that whole number, 3, and use it to make 2/6 an improper fraction. Here's how you do that: Take 3, multiply it by the denominator, 6, to get 18, then add the numerator, but keep the denominator. So you have 20/6 now, instead of 2/6, and you can subtract now and not get a negative number. Get that? Okay, so now you have 20/6-4/6. the denominator does not change, so you are only subtracting the top. 20-4=16, so now you have 16/6. You can reduce that by diving both bottom and top by 2, and get 8/3. Now you need to make it a mixed fraction. You do this by dividing the bottom into top. 8 divided by 3 is 2, with 2 left over. You put that 2 over the denominator, 3, so your final answer is 3 and 2/3. 
miss Akunina [59]3 years ago
6 0
Hello there.

What Is 3 2/6- 2/3?

Answer:2  \frac{2}{3}
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11) MZHGF = 16x + 4, m EGF = 110°,<br> and MZHGE = 3x + 11. Find x.<br> G<br> H<br> F<br> E
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<h3>Answer:  x = 9</h3>

=======================================================

Explanation:

The smaller angles HGE and EGF combine to form the largest angle HGF.

This is an example of the angle addition postulate.

(angle HGE) + (angle EGF) = angle HGF

(3x+11) + (110) = 16x+4

3x+121 = 16x+4

121-4 = 16x-3x

117 = 13x

13x = 117

x = 117/13

x = 9 which is the final answer

We can stop here.

--------------------

Extra info (optional section)

Use this x value to find each angle shown below

  • angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degrees
  • angle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees

Then notice how,

(angle HGE)+(angle EGF) = 38+110 = 148

which is exactly the measure of angle HGF

This confirms that the equation

(angle HGE) + (angle EGF) = angle HGF

is true for that x value of x = 9. Therefore, the answer is confirmed.

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