What is the result of converting 14 inches into centimeters?

Question

Jaqueline Byrd · Accepted Answer

The formula for converting cm to inches is:
2.54 cm = 1 inch
This can be expressed as the following ration problem:
\(\displaystyle\frac{{{2.54}{c}{m}}}{{{1}{i}{n}}}=\frac{{x}}{{{14}{i}{n}}}\)
In order to solve the equation, we must multiply each side by \(\displaystyle{\color{red}{{14}{i}{n}}}\) to solve for x while keeping the equation balanced:
\(\displaystyle{\color{red}{{14}{i}{n}}}\times\frac{{{2.54}{c}{m}}}{{{1}{i}{n}}}={\color{red}{{14}{i}{n}}}\times\frac{{x}}{{{14}{i}{n}}}\)
\(\displaystyle{\color{red}{{14}{\color{black}{\cancel{{{\color{red}{{i}{n}}}}}}}}}\times\frac{{{2.54}{c}{m}}}{{{1}{\color{red}{\cancel{{{\color{black}{{i}{n}}}}}}}}}=\cancel{{{\color{red}{{14}{i}{n}}}}}\times\frac{{x}}{{\color{red}{\cancel{{{\color{black}{{14}{i}{n}}}}}}}}\)
\(\displaystyle{35.56}{c}{m}={x}\)
14 inches equals 35.56 centimeters.

What is the result of converting 14 inches into centimeters?

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