What fraction represents 800 of 1300 on fire in simplest form?

To simplify the fraction that represents 800 out of 1300, one starts by writing it as ( \frac{800}{1300} ). The next step is to divide both the numerator and the denominator by their greatest common divisor (GCD).

Both numbers can be divided by 100, which is their GCD in this case:

• ( 800 \div 100 = 8 )

• ( 1300 \div 100 = 13 )

Thus, ( \frac{800}{1300} ) simplifies to ( \frac{8}{13} ).

This simplification reveals that ( \frac{8}{13} ) correctly expresses the proportion of 800 to 1300 in its simplest form. The other choices do not correspond to this simplification; specifically, ( \frac{5}{13} ) and ( \frac{3}{4} ) are incorrect representations of the fraction, and ( \frac{4}{10} ) does not reflect this specific proportion as it reduces to ( \frac{2}{5} ), which is not relevant in this context.

Thus, the correct representation in simplest form of 800 of 130