Answer:
1. 3:25
2. 60:7
Step-by-step 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:
[tex]360\ m: 3000\ m\\\Rightarrow \dfrac{360}{3000}\\ \\\text{Dividing by 10:}\\\Rightarrow \dfrac{36}{300}\\\\\text{Dividing by 12:}\\\Rightarrow \dfrac{3}{25}\\\Rightarrow 3:25[/tex]
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
