To convert 165 cm to inches, we will use the conversion factor of 1 inch = 2.54 cm. This means that for every 1 inch, there are 2.54 cm.
Step 1: Write down the given value in centimeters (cm). In this case, it is 165 cm.
Step 2: Set up a ratio with the given conversion factor. The ratio should have inches on the top and centimeters on the bottom, with the given conversion factor in between. It should look like this: 1 inch / 2.54 cm.
Step 3: Multiply the given value (165 cm) by the ratio. This will cancel out the units of centimeters and leave us with the value in inches.
165 cm x (1 inch / 2.54 cm) = 165/2.54 inches
Step 4: Simplify the fraction if needed. In this case, we can divide both the numerator and denominator by 2.54 to get a simplified fraction.
165/2.54 = 64.96 inches
Step 5: Round off the final answer to the desired precision. In this case, we will round off to the nearest hundredth.
64.96 inches rounded to the nearest hundredth = 64.96 ≈ 64.97 inches
Step 6: Write the final answer with the correct unit. Therefore, 165 cm is equal to 64.97 inches.
Answer: 165 cm = 64.97 inches
In summary, to convert 165 cm to inches, we set up a ratio using the conversion factor of 1 inch = 2.54 cm and then multiply the given value by the ratio. The resulting value is then simplified and rounded off to the desired precision to get the final answer in inches.