Question

simplify the ratio

2km: 3400m​

Answer 1

Answer:

$\displaystyle \frac{10}{17}$

Step-by-step explanation:

Fraction Simplifying

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

$\displaystyle \frac{2\ km}{3400\ m}$

Since 2 Km = 2000 m:

$\displaystyle \frac{2\ km}{3400\ m}=\frac{2000\ \not{m}}{3400\ \not{m}}$

We need to simplify the fraction:

$\displaystyle \frac{2000}{3400}$

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

$\displaystyle \frac{20\not{0}\not{0}}{34\not{0}\not{0}}$

The remaining fraction is:

$\displaystyle \frac{20}{34}$

Dividing both by 2:

$\displaystyle \frac{10}{17}$

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

$\boxed{\displaystyle \frac{10}{17}}$