To convert 11cm into inches, we first need to know the conversion factor between these two units. The conversion factor is 1 inch = 2.54 cm. This means that there are 2.54 centimeters in 1 inch.
Step 1: Write down the conversion factor.
1 inch = 2.54 cm
Step 2: Set up a proportion.
To convert from one unit to another, we can use a proportion. In this case, we will set up the proportion as follows:
1 inch / 2.54 cm = x inches / 11 cm
Note: The “x” in the proportion represents the unknown value we are trying to find, which is the equivalent number of inches.
Step 3: Solve for “x”.
To solve for “x”, we will use cross multiplication. This means that we will multiply the numerator of one fraction by the denominator of the other fraction and vice versa.
1 inch * 11 cm = 2.54 cm * x inches
11 cm = 2.54 cm * x inches
Step 4: Divide both sides by 2.54 cm.
To isolate “x”, we will divide both sides of the equation by 2.54 cm.
11 cm / 2.54 cm = x inches
4.33 inches = x inches
Step 5: Round to the desired number of decimal places.
11 cm is equivalent to 4.33 inches. However, since cm is a smaller unit than inches, we can round the value to 2 decimal places to make it more accurate. Therefore, the final answer is 4.33 inches.
Step 6: Check your work.
To check our work, we can use a conversion calculator or the conversion factor to verify if our answer is correct. Using a conversion calculator or the conversion factor, we can see that 11 cm is indeed equal to 4.33 inches. This means that our conversion is correct.
In summary, to convert 11cm into inches, we used the conversion factor of 1 inch = 2.54 cm and set up a proportion. By solving for “x” and rounding to the desired number of decimal places, we determined that 11 cm is equal to 4.33 inches.