Rewrite the ratio so that the units in the numerator and the denominator are the same. Use values in terms of the smaller measurement unit. Then write the ratio in fraction notation, expressing the fraction in simplest form.
144 inches to 13 feet ( 12 inches $=1$ foot)
Write the ratio with the smaller measurement unit.
144 inches to 13 feet $=144$ inches to 156 inches
The fraction in simplest form is

Step 1 ：Rewrite the ratio so that the units in the numerator and the denominator are the same. Use values in terms of the smaller measurement unit. Then write the ratio in fraction notation, expressing the fraction in simplest form.

Step 2 ：144 inches to 13 feet ( 12 inches $=1$ foot)

Step 3 ：Write the ratio with the smaller measurement unit.

Step 4 ：144 inches to 13 feet $=144$ inches to 156 inches

Step 5 ：First, we need to convert the feet to inches since inches is the smaller unit. We know that 1 foot is equal to 12 inches. So, 13 feet is equal to 13 * 12 = 156 inches. Now, we can write the ratio as 144 inches to 156 inches.

Step 6 ：To simplify this ratio, we need to find the greatest common divisor (GCD) of 144 and 156, and then divide both numbers by the GCD.

Step 7 ：The GCD of 144 and 156 is 12.

Step 8 ：So, the simplified ratio is \(\frac{144}{12}\) to \(\frac{156}{12}\), which simplifies to \(\frac{12}{13}\).

Step 9 ：Final Answer: The ratio of 144 inches to 13 feet in simplest form, with both measurements in inches, is \(\boxed{\frac{12}{13}}\).