Santos flipped a coin 300 times. The coin landed heads up 175 times. Find the ratio of heads to total number of coin flips. Express as a simplified ratio.
The ratio of heads to total flips is $\frac{175}{300}$. To simplify $\frac{175}{300}$, we find a common factor. Since both numbers are divisible by 25, we divide: $$\frac{175}{300} = \frac{7 \cdot 25}{12 \cdot 25} = \frac{7 \cancelto{1}{\displaystyle \cdot 25}}{12 \cdot \cancelto{2}{\displaystyle 25}} = \boxed{\frac{7}{24}}.$$
