Question

Simplify the ratio

2km: 3400m​

Answer 1

`\displaystyle (10)/(17)`

Explanation:

Fraction Simplifying

We are given the ratio 2 Km:3400 m. This can be written in fraction form as:

`\displaystyle (2\ km)/(3400\ m)`

Since 2 Km = 2000 m:

`\displaystyle (2\ km)/(3400\ m)=\frac{2000\ \\ot{m}}{3400\ \\ot{m}}`

We need to simplify the fraction:

`\displaystyle (2000)/(3400)`

We cancel out two zeroes, which is like dividing both numbers by 100:

`\displaystyle \frac{20\\ot{0}\\ot{0}}{34\\ot{0}\\ot{0}}`

The remaining fraction is:

`\displaystyle (20)/(34)`

Dividing both by 2:

`\displaystyle (10)/(17)`

Since the denominator is a prime number, no more simplifying is possible, thus the given ratio is equivalent to:

`\boxed{\displaystyle (10)/(17)}`