Question

Express $4hours$ to $3days$ in fraction form, ratio form, and in words. Also, write the ratio in its simplest form as a fraction.

Answer 1

Step 1. Expressing $4hours$ to $3days$in three different forms:

$$\begin{gathered} 1day=24hours \\ \therefore 3days=72hours \end{gathered}$$

The fraction form of $4hours$ to $3days$ $=\frac{4}{72}$

The ratio form of $4hours$ to $3days$ $=\frac{4}{72}=\frac{1}{18}=1:18$ [Dividing the numerator by denominator by $4$]

$4hours$ to $3days$ $=1:18$

$\therefore$In words, it can be expressed as $1$ is to $18$.

Step 2. Expressing $4hours$ to $3days$ 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 $4hours$ to $3days$ is $1:18$, which is obtained by dividing the numerator and denominator by $4$.

Thus, the simplest form of $4hours$ to $3days$ is $\frac{1}{18}$.