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.

Question

asked Sep 2, 2023 5.7k views

1 Answer

McHerbie · Answer 1 · 2023-09-06T02:40:36+0000

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

and the second number one as

$1=\frac{2.54\operatorname{cm}}{1in}$

By substituting these results into our first equation, we get

$5ft=5ft*(12in)/(1ft)*\frac{2.54\operatorname{cm}}{1in}$

which gives

$5ft=\frac{5ft*12in*2.54\operatorname{cm}}{1ft*1in}$

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