Question

Express the ratio 45 seconds to 30 minutes as a fraction in simplest form.

Answer 1

Answer:  The required ratio in simplest form is 1 : 40.

Step-by-step explanation:  We are given to express the ratio 45 seconds to 30 minutes as a fraction in simplest form.

We know that

1 minute = 60 seconds.

So, 30 minutes = (30 × 60) = 1800 seconds.

Therefore, the ratio is given by

$45~\textup{seconds}:30~\textup{minutes}\\\\=\dfrac{45~\textup{seconds}}{30~\textup{minutes}}\\\\\\=\dfrac{45~\textup{seconds}}{1800~\textup{seconds}}\\\\\\=\dfrac{1}{40}\\\\=1:40.$

Thus, the required ratio in simplest form is 1 : 40.

Answer 2

$1min=60s\to30min=30\cdot60s=1800s\\\\45s:30min=45s:1800s=45:1800=\dfrac{45}{1800}=\dfrac{45:45}{1800:45}=\dfrac{1}{40}$