What is 12.8 converted to a fraction? The answer should begin in simplest form.
To convert a decimal to a fraction, we can write the decimal as a fraction with the decimal value divided by a power of 10.
12.8 = 12.8/1 = 128/10
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 8.
128/10 = 16/2
The simplified fraction for 12.8 is 16/2.
To convert 12.8 to a fraction, you can start by observing that 12.8 is a decimal number with one digit after the decimal point. Since there is one digit after the decimal point, we can place 12.8 over a denominator of 10 raised to the power of one, which is 10^1 = 10.
So, the fraction form of 12.8 is 12.8/10.
To simplify this fraction, divide both the numerator and the denominator by their greatest common divisor, which is 0.8 (to get a whole number in the numerator).
Dividing 12.8 by 0.8 gives 16 (12.8/0.8 = 16). Also, dividing 10 by 0.8 yields 12.5 (10/0.8 = 12.5).
Hence, the fraction 12.8/10 can be simplified to 16/12.5.