Question

Express $3km$ to $150m$ in fraction form, ratio form, and in words. Also, write the ratio in its simplest form as a fraction.

Answer 1

Step 1. Expressing $3km$ to $150m$in three different forms:

$$\begin{gathered} 1km=1000m \\ \therefore 3km=3000m \end{gathered}$$

The fraction form of $3km$ to $150m$$=\frac{3000}{150}$

The ratio form of $3km$ to $150m$ $=\frac{3000}{150}=\frac{20}{1}=20:1$ [Dividing the numerator by denominator by $150$]

$3km$ to $150m$$=20:1$

$\therefore$In words, it can be expressed as $20$ is to $1$.

Step 2. Expressing $3km$ to $150m$ in the simplest form:

To express any fraction in its simplest, we divide the numerator and the denominator by their common factor.

The ratio form of $3km$ to $150m$ is $20:1$, which is obtained by dividing the numerator and denominator by $150$.

Thus, the simplest form of $3km$ to $150m$ is $\frac{20}{1}$.