To simplify the fraction 30/40, we need to find the greatest common divisor (GCD) of the numerator (30) and the denominator (40).
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. The largest common factor between them is 10.
Now, we divide both the numerator and the denominator by their GCD, which is 10:
- Numerator: 30 ÷ 10 = 3
- Denominator: 40 ÷ 10 = 4
Therefore, the fraction 30/40 simplified to its simplest form is 3/4.
In summary, 30/40 reduces to 3/4 when both the numerator and denominator are divided by their greatest common divisor.