To convert 60 percent into a fraction, we start by understanding what percent means. The term ‘percent’ comes from the Latin phrase ‘per centum’, which translates to ‘by the hundred’. Therefore, 60 percent can be written as:
60% = 60/100
Now, to simplify the fraction 60/100, we need to find the greatest common divisor (GCD) of the numerator (60) and the denominator (100). The GCD of 60 and 100 is 20.
Next, we divide both the numerator and the denominator by their GCD:
- Numerator: 60 ÷ 20 = 3
- Denominator: 100 ÷ 20 = 5
Thus, when we simplify 60/100, we get:
3/5
In conclusion, 60 percent as a fraction in its simplest form is 3/5.