Question

Use the unit-fraction method to convert 5 feet into centimeters. Use 1 ft = 12 in and 1 in = 2.54 cm. Show work. Don’t round.

Answer 1

We can convert 5 feet into centimeters by means of the unit-fraction method as follows

`\begin{gathered} 5ft=5ft*1*1 \\ \\ \end{gathered}`

where the first number one can be written as

`1=(12in)/(1ft)`

and the second number one as

By substituting these results into our first equation, we get

which gives

we can cancel feets and inches our from the numerator and denominator an the result is 5ft = 152.4 cm