Here we will show you how to convert 0.765 to a simplified fraction. In other words, we will convert the decimal number 0.765 to a fraction with a numerator and denominator in the simplest form possible.
You can divide any number by 1 without changing its value. Therefore, we start by making 0.765 the numerator and 1 the denominator, like this:
Next, we need to remove the decimal point in the numerator. We can do that by multiplying the numerator and denominator by 1000:
When we calculate the new numerator and denominator above, we get a fraction without a decimal point.
The greatest common divisor of the numerator and denominator in the fraction above is 5. Therefore, we divide the numerator and the denominator by 5, like this:
Then, when we calculate the numerator and denominator above, we get 0.765 as a simplified fraction:
Note that the numerator is less than the denominator in 0.765 as a simplified fraction above. Therefore, the fraction is a proper fraction.
You can confirm that the 0.765 as a simplified fraction answer above is correct by dividing the numerator by the denominator. 153 divided by 200 is in fact 0.765.
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0.766 as a simplified fraction
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