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EastWind [94]
3 years ago
15

Convert the decimal expansion 0.291666... to a fraction

Mathematics
2 answers:
Roman55 [17]3 years ago
8 0

Answer: \frac{7}{24}


Step-by-step explanation:

The given decimal expansion : 0.291666......, where 6 is repeating.

Let x=0.291666...            (1)

First we multiply 10 on the both sides, we get

10x=2.916666......             (2)

Now, subtract (1) from (2), we get

10x-x=2.9166...-0.29166...\\\Rightarrow9x=2.625\\\Rightarrow\ x=\frac{2.625}{9}=\frac{2625}{1000}

Simplify it to the lowest fraction, we get

x=\frac{7}{24}


Alexus [3.1K]3 years ago
3 0
7/24
You could try rounding up to 0.292 first and try guessing it it gets to 73/250 which you could guess into 70/240.
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One way is to just expand it by using binomial theorem
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ok so

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so

4th term
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7 0
3 years ago
Factor y + 5y + 6.<br> ??
maxonik [38]

Answer:

6(y+1)  Hope this helps!!

Step-by-step explanation:

6 0
3 years ago
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A company sells tents in two styles, shown below. The sides and floor of each tent are made of nylon. Which tent requires less n
BartSMP [9]

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Step-by-step explanation:

The tent which has the minimum area requires less nylon to manufacture,

Since, the area of Pup tent = Area of 3 square each having side 8 ft + Area of 2 equilateral triangle having side 8 ft

= 3 \times ( 8^2 ) + 2\times \frac{64\sqrt{ 3} }{4}

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4 0
4 years ago
Determine the commutators of the operators a and a+,where a = (x + ip)/2 ^1/2 and a+ = (x - ip)/ 2 ^1/2
Vsevolod [243]

Answer:

Given that:

a = (\frac{x+ip}{2})^{\frac{1}{2}} and a+= (\frac{x-ip}{2})^{\frac{1}{2}}

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aa^+ = (\frac{x+ip}{2})^{\frac{1}{2}} (\frac{x-ip}{2})^{\frac{1}{2}}

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Now;

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therefore, aa^+ = a^+a which implies the operators a and a+ are commutators.    


7 0
3 years ago
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