Application of ratios — lesson. Mathematics CBSE, Class 6.

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In our day-to-day life, we use the ratio in various ways.

Now, we will learn how the ratio helps us to solve our real-life situations.

When two numbers are in the ratio of

$a$ :

$b$ , they can be represented as

$ax$ and

$bx$ .

Because whatever the value we substitute as

$x$ in the expression will be equal to the original form.

That is

$ax:bx = a:b$ .

$\frac{ax}{bx} = \frac{a}{b}$

Where

$x \neq 0$ .

Consider a ratio of two number 4

$:$ 11, which can also be written as 4

$x:$ 11

$x$ .

$\begin{array}{l} 4 x : 11 x = 4 : 11 \\ \frac{4 x}{11 x} = \frac{4}{11} \end{array}$

$x = 1$ , then

$\frac{4}{11}$

$=$

$\frac{4}{11}$ .

We will see some application-oriented problems on ratios to understand this concept clearly.

$1$

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4. Application of ratios