What fraction represents 150 of 1600 on fire?

To determine the fraction that represents 150 out of 1600, we can set up the fraction as 150/1600. Simplifying this fraction involves finding the greatest common divisor (GCD) of the numerator and the denominator.

First, we simplify 150/1600:

1. Find the GCD of 150 and 1600. The prime factorization of 150 is 2 * 3 * 5², and for 1600, it is 2⁵ * 5².

2. The common factors are 2 and 5², which means the GCD is 50.

3. Now, divide both the numerator and the denominator by their GCD:

   • 150 ÷ 50 = 3
   • 1600 ÷ 50 = 32

This gives us a simplified fraction of 3/32.

To see whether this fraction corresponds to the provided choices, we can convert the simplified fraction to a decimal:

• 3 divided by 32 equals approximately 0.09375.

Next, we convert the choices to decimals to identify which is closest:

• 1/10 = 0.1
• 1/12