Question

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

Answer 1

`1min=60s\to30min=30\cdot60s=1800s\\\\45s:30min=45s:1800s=45:1800=(45)/(1800)=(45:45)/(1800:45)=(1)/(40)`

Answer 2

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}\\\\=\frac{45~\textup{seconds}}{30~\textup{minutes}}\\\\\\=\frac{45~\textup{seconds}}{1800~\textup{seconds}}\\\\\\=(1)/(40)\\\\=1:40.`

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