Question

Find the ratio of 10 metres to 25 cm.

Answer 1

Hint: To find the ratio between two numbers or quantities we need to be sure that both are in the same unit. So we can convert either both in metres or centimetres.

Complete step by step solution:
The first thing asked in the question is to find the ratio of 10 meters to 25 cm.
The first step to find the ratio is the conversion of metres into centimetre.
Now 1 metre = 100 cm
This means that 10 metre= 1000 cm
Ratio means quantitative relation between two amounts.
So if p is one quantity and q is the other then ratio $\text{=}\dfrac{\text{p}}{\text{q}}$
The next step is the approach to answer
Now, we find the ratio of 10 metre to 25 cm
$\therefore \text{ Ratio = }\dfrac{10\text{ metre}}{25\text{ cm}}$
Ratio can only be found when the two quantities are having the same unit.
$\therefore \text{ Ratio = }\dfrac{1000\text{ cm}}{25\text{ cm}}$
                $=\text{ }\dfrac{40}{1}$
                  $=40:1$
Therefore the ratio of 10 metre and 25 cm is $40\text{ : 1}$

Note: The first thing to remember is that ratio is an abstract number. The symbol of ratio is ”: ”
We know that ratio does not have any unit and is just a number. Due to the reason it’s a number, the two quantities are to have the same unit so the units get cancelled and we obtain a ratio. If the units of two quantities are not the same then we cannot find the ratio of the two given quantities.