(2) Proportions can be used to convert units. For example, to convert 250 centimeters to meters, you set up the proportion
1 m
100 cm
= x m
250 cm
.
Use proportions as described above to convert each of the following. (If necessary, round your answers to one decimal place.)
(a) Convert 19 feet to inches. _________ in
(b) Convert 19 feet to yards. _________ yd
I tried to do these the way the instructions say to do it...
(a) \(\frac{12\text{ in}}{1\text{ ft}}=\frac{x\text{ in}}{19\text{ ft}}\\~\\ \frac{12\text{ in}\cdot19\text{ ft}}{1\text{ ft}}=x\text{ in}\\~\\ 228\text{ in}=x\text{ in}\)
So.. 19 ft = 228 in
(b) \(\frac{1\text{ yd}}{3\text{ ft}}=\frac{x\text{ yd}}{19\text{ ft}}\\~\\ \frac{1\text{ yd}\cdot19\text{ ft}}{3\text{ ft}}=x\text{ yd}\\~\\ \frac{19}{3}\text{ yd}=x\text{ yd}\\~\\ 6.3\text{ yd}\approx x\text{ yd} \)
So.. 19 ft ≈ 6.3 yd