To simplify the fraction 10/16, you need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD is the largest number that divides both numbers without leaving a remainder.
For 10 and 16, the factors are:
- Factors of 10: 1, 2, 5, 10
- Factors of 16: 1, 2, 4, 8, 16
The common factors are 1 and 2, so the GCD is 2.
Next, divide both the numerator and the denominator by their GCD:
- 10 ÷ 2 = 5
- 16 ÷ 2 = 8
So, 10/16 simplifies to 5/8.
In conclusion, the simplified form of the fraction 10/16 is 5/8.