To express the decimal 0.165 as a fraction, we can follow a simple process. First, we recognize that 0.165 can be read as ‘one hundred sixty-five thousandths’ because there are three digits after the decimal point.
Therefore, we can express 0.165 as:
0.165 = 165/1000
Now, to simplify this fraction, we need to find the greatest common divisor (GCD) of 165 and 1000. The GCD of 165 and 1000 is 5.
Next, we divide both the numerator and the denominator by their GCD:
165 ÷ 5 = 33
1000 ÷ 5 = 200
Thus, the simplified fraction form of 0.165 is:
33/200
In conclusion, 0.165 can be expressed as the fraction 33/200.