0.9 = 9/10 as a fraction in its simplest form
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0.09 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. Its rational equivalent is 9/100 which cannot be simplified.
0.09 = 9/100 in fraction
.09 percent = .0009 = 9/10000.
Assuming you want the "09" to repeat indefinitely, here is how you calculate that:Call your number "x", and write the equation: (Equation 1) x = 1.09090909... Multiply by 100 (that's two zeros, because it's two digits that repeat): (Equation 2) 100x = 109.09090909... Subtract equation (1) from equation (2): 99x = 108 Solve for "x" (as a fraction), and simplify.
The number 1.09 repeating can be represented as 1.099999... in decimal form. To convert this to a fraction, we can set x = 1.099999... and multiply by 10 to shift the decimal point: 10x = 10.999999... Subtracting the original equation from the new one eliminates the repeating decimal: 10x - x = 10.999999... - 1.099999... This simplifies to 9x = 9, so x = 1. Therefore, 1.09 repeating as a fraction is 1 and 9/90, which simplifies to 1 and 1/10.