Application of ratios — lesson. Mathematics State Board, 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 8

$:$ 13, which can also be written as 8

$x:$ 13

$x$ .

$\begin{array}{l} 8 x : 13 x = 8 : 13 \\ \frac{8 x}{13 x} = \frac{8}{13} \end{array}$

$x = 1$ , then

$\frac{8}{13}$

$=$

$\frac{8}{13}$ .

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

$1$

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4. Application of ratios