Question

What is the result of converting 14 inches into centimeters?

Answer 1

See a solution process below:

Explanation:

The conversion rate for cm to inches is:

2.54 cm = 1 inch

We can write this as a ration problem as follows:

`(2.54cm)/(1 i n) = x/(14 i n)`

Now, we can multiply each side of the equation by `color(red)(14 i n)` to solve for `x` while keeping the equation balanced:

`color(red)(14 i n) xx (2.54cm)/(1 i n) = color(red)(14 i n) xx x/(14 i n)`

`color(red)(14 color(black)(cancel(color(red)(i n)))) xx (2.54cm)/(1 color(red)(cancel(color(black)(i n)))) = cancel(color(red)(14 i n)) xx x/color(red)(cancel(color(black)(14 i n)))`

`35.56cm = x`

14 inches equals 35.56 centimeters.