Write each ratio in simplest form.
50 m : 30 m
6 ft to 6 yd
120 ft /13. 36 cm (fraction)
1. 50 m : 30 m
First, we can tell that both these numbers have the same unit (m), so we don't need to convert anything.
Second, both these numbers are divisible by 10. 50m/10 : 30m/10 = 5m : 3m
5m : 3m is the simplest ratio.
2. 6 ft to 6 yds (can be written as 6ft : 6yd)
First, we need to convert ft to yds in order to have the same unit. We know that 3ft = 1yd, so divide 6 by 3 and you get 2yds.
Now the ratio is 2yd : 6yd.
Second, both these numbers are divisible by 2. 2yd/2 : 6yd/2 = 1yd : 3yd
3. 120 ft / 13.36 cm (can be written as 120ft : 13.36cm
First, we realize we need to convert to make the units the same. There are 30.48 cm in 1 ft. 30.48 cm x 120 = 3657.6cm
Now the ratio is 3657.6cm : 13.36cm
Also.....
50 m : 30 m \(=\frac{50\,\text{m}}{30\,\text{m}}=\frac{5\,\text m}{3\,\text m}=\frac53=\) 5 : 3
6 ft to 6 yd \(=\frac{6\text{ ft}}{6\text{ yd}}=\frac{1\text{ ft}}{1\text{ yd}}=\frac{1\text{ ft}}{3\text{ ft}}=\frac13=\) 1 to 3
\(\frac{120\text{ ft}}{13.36\text{ cm}}=\frac{120\text{ ft}\cdot\frac{1\text{ ft}}{1\text{ ft}}}{13.36\text{ cm}} =\frac{120\text{ ft}\cdot\frac{30.48\text{ cm}}{1\text{ ft}}}{13.36\text{ cm}} =\frac{3657.6\text{ cm}}{13.36\text{ cm}}=\frac{3657.6}{13.36}=\frac{100}{100}\cdot\frac{3657.6}{13.36}= \frac{365760}{1336}=\frac{45720}{167}\)