Question

Express as a ratio in the lowest term

1. 360 metres to 3 kilometres
2. 2 minutes to 14 seconds​

Answer 1

1. 3:25

2. 60:7

Explanation:

To express the ratio in the lowest terms:

1. 360 metres to 3 kilometres

First of all, we need to convert both the terms in same unit.

Let us convert kilometres to metres for simplicity.

We know that 1 km = 1000 m

So, 3 km = 3000 m

Hence, the ratio can be represented as:

`360\ m: 3000\ m\\\Rightarrow (360)/(3000)\\ \\\text{Dividing by 10:}\\\Rightarrow (36)/(300)\\\\\text{Dividing by 12:}\\\Rightarrow (3)/(25)\\\Rightarrow 3:25`

So, the simplest ratio is 3:25.

2. 2 minutes to 14 seconds​

Converting minutes to seconds.

1 minute = 60 seconds

2 minutes = 120 seconds

So, the ratio can be written as:

120 seconds : 14 seconds

Dividing by 2:

60:7

So, the simplest form is 60:7.

The answers are:

1. 3:25

2. 60:7