Step 1: Understand the Units
Before converting, it is important to understand the units involved. In this case, we have two units of length – centimeters (cm) and inches (in).
Step 2: Know the Conversion Factor
To convert from centimeters to inches, we need to know the conversion factor – the numerical value that expresses the relationship between the two units. In this case, the conversion factor is 1 inch = 2.54 centimeters. This means that 1 inch is equal to 2.54 centimeters.
Step 3: Set Up the Problem
Write down the given value of 7.5 cm in the form of a fraction, with the numerical value of 1 as the denominator. This will give us:
7.5 cm/1
Step 4: Multiply by the Conversion Factor
To convert centimeters to inches, we have to multiply the given value by the conversion factor. In this case, the conversion factor is 1 inch = 2.54 centimeters. Therefore, we multiply 7.5 cm/1 by 1 inch/2.54 cm. This will give us:
(7.5 cm/1) x (1 inch/2.54 cm)
Step 5: Simplify
Next, we simplify the fraction by canceling out the units that appear in both the numerator and denominator. In this case, cm is in both the numerator and denominator, so it can be canceled out. This leaves us with:
(7.5/1) x (1 inch/2.54)
Step 6: Calculate
To get the final answer, we multiply the numbers in the numerator and denominator. This gives us:
(7.5/1) x (1/2.54) = 3.4375
Step 7: Add the Unit
Since our final answer is in inches, we add the unit (in) to the numerical value of 3.4375. This gives us our final answer:
7.5 cm = 3.4375 in
Step 8: Round Off
If the given value has several decimal places, we can round off the final answer to make it easier to read. In this case, we can round off 3.4375 to the nearest hundredth, which is 3.44. So, the final answer is:
7.5 cm = 3.44 in
Step 9: Check Your Answer
To ensure that the answer is correct, we can use a calculator to convert 7.5 cm to inches. If our calculation was correct, we should get the same value – 3.44 inches.
In summary, to convert 7.5 cm to inches, we multiply the given value by the conversion factor (1 inch = 2.54 cm) and simplify the fraction to get our final answer in inches. Remember to add the unit and round off the final answer if necessary.