Question

How many centimeters is 5.67 inches?

Answer 1

14.4018 centimeters

Explanation:

There are 2.54 centimeters in one inch.

Multiply 2.54 cm by 5.67 in to get 14.4018 as your answer

Answer 2

So 5.67 inches is 14.408 cm

The explanation takes a lot longer than the actual calculation.

Explanation:

If you are ever not sure what to do with conversion use ratio. Also look at the way the units of measurements are written in the conversion. That gives you a clue about what you need to do.

`color(blue)("Building the reference ratio")`

Known: `25.4" mm "= 1" inch"`

So there are 25.4 mm `ul("per")` inch `->("25.4 mm")/("1 inch")`

This gives the ratio.

But 25.5 mm `->`2.54 cm giving:

`("25.4 mm")/("1 inch") " "-=" " ("2.54 cm")/("1 inch")`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`color(blue)("Converting the reference ratio so that it gives the answer")`

We need to know what the values in the ratio are if we change the inches from 1 to 5.67.

Multiply by 1 and you do not change the value but 1 comes in many forms.

Multiply by 1 but in the form of `color(magenta)(1=5.67/5.67)`

`color(white)(.)`

`color(green)(("2.54 cm")/("1 inch")xxcolor(magenta)(1) " "=" "("2.54 cm")/("1 inch")xxcolor(magenta)(5.67/5.67))`

`=(14.4018" cm")/(5.67" inches")`

So 5.67 inches is 14.408 cm