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How we express 0.3 +.0.3bar+0.33bar in p by q from?
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How we express 0.3 +.0.3bar+0.33bar in p by q from?
Expressing 0.3, 0.3bar, and 0.33bar in p/q form


Understanding p/q form

p/q form, also known as fraction form, is a way to express numbers as a ratio of two integers. The top number, p, is the numerator, and the bottom number, q, is the denominator. For example, the number 0.5 in p/q form is 1/2 because the numerator is 1 and the denominator is 2.


Expressing 0.3 in p/q form

To express 0.3 in p/q form, we need to convert it to a fraction. We can do this by multiplying both the numerator and denominator by 10, which gives us:

0.3 = 0.3 x 10/1 x 10 = 3/10

Therefore, 0.3 in p/q form is 3/10.


Expressing 0.3bar in p/q form

0.3bar means that the digit 3 repeats indefinitely. To express this as a fraction, we can use the following method:


  1. Let x = 0.3bar

  2. Multiply both sides of the equation by 10 to get 10x = 3.3bar

  3. Subtract the equation in step 1 from the equation in step 2 to get 9x = 3

  4. Divide both sides of the equation by 9 to get x = 1/3


Therefore, 0.3bar in p/q form is 1/3.


Expressing 0.33bar in p/q form

Using the same method as above, we can express 0.33bar in p/q form:


  1. Let x = 0.33bar

  2. Multiply both sides of the equation by 100 to get 100x = 33.33bar

  3. Subtract the equation in step 1 from the equation in step 2 to get 99x = 33

  4. Divide both sides of the equation by 99 to get x = 1/3


Therefore, 0.33bar in p/q form is also 1/3.
Community Answer
How we express 0.3 +.0.3bar+0.33bar in p by q from?
So by 0.3 you do not do any calculation of 0.3 you can write as 3/10. than second thing we have to calculate 0.3bar okay so now we will write as let x be=0.3333•••• 10x=3.3333•••• 10x-x=3.3333-0.3333 9x=3 x=3/9=1/3 in third case we have also calculate 0.33 bar so,let's x be=0.333333•••• 100x=33.333333 100x-x=33.333333-0.333333 99x=33 x=33/99=1/3 so we get 3/10, 1/3, 1/3
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