Question

covert to simplest form:- 25 cm: 0.4 cm​

Answer 1

Answer:

The simplest form is 125 cm : 2 cm.

Step-by-step explanation:

Given ratio is $25cm:0.4cm$.

We need to find the simplest form.

Since the units are same, there is no need for conversion.

We can write it as

$\frac{25cm}{0.4cm}$.

Since the denominator is in fraction, we need to simplify it.

A fraction is in simplest form if the top and bottom have no common factors other than 1.

$\frac{25}{0.4}=\frac{250}{4}$

$=\frac{125}{2}$

Now we can see that the top and bottom have no common factors.

So the simplest form is $125cm:2cm$.

Answer 2

Given,

$25cm: 0.4cm$

We have to convert given ratio into simplest form

In order to simplify the given ratio $25cm: 0.4cm$

$25cm: 0.4cm$ this can be also written as

$\frac{25}{0.4}$

We have to find the simplest form of the above fraction

A fraction said to be in simplest form if its numerator and denominator are relatively prime, that is, they have no common factors other than $1$.

Now,

We will multiply and divided by $100$ with $\frac{25}{0.4}$

$= \frac{25\times100}{0.4\times100}$

$=\frac{2500}{40}$

$= \frac{125}{2}$

$= 125:2$

Therefore, the simplest form of $25cm: 0.4cm$ is $125cm:2cm$.