Question

Take photo then tell me ​

Answer 1

${\large{\pmb{\sf{\underline{RequirEd \; Solution...}}}}}$

${\sf{:\implies 0.2\overline{6}}}$

${\sf{:\implies Let \: 0.2\overline{6} \: = x}}$

${\sf{:\implies So, \: x \: = 0.2\overline{6}}}$

${\sf{:\implies x \: = 0.2666666 \dots \dots Equation \: 1^{st}}}$

Now let's multiply 10 by Equation 1st

By doing multiplication we get

${\sf{:\implies 10 \times x \: = 10 \times 0.2666666 \dots \dots}}$

${\sf{:\implies 10x \: = 2.666666 \dots \dots Equation \: 2^{nd}}}$

Now sub. equation 1 and equation 2

${\sf{:\implies 10x \: = 2.666666 \dots \dots}}$

${\sf{:\implies x \: = 0.2666666 \dots \dots}}$

By doing subtraction we get

${\sf{:\implies 9x \: = 2.4 \dots \dots}}$

${\sf{:\implies x \: = \dfrac{2.4}{9}}}$

${\sf{:\implies x \: = \dfrac{24}{9 \times 10}}}$

${\sf{:\implies x \: = \dfrac{24}{90}}}$

${\sf{:\implies x \: = \cancel{\dfrac{24}{90}}}}$

${\sf{:\implies x \: = \cancel{\dfrac{12}{45}} x \: = \dfrac{4}{15}}}$

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${\large{\pmb{\sf{\underline{Some \: basic \: concepts...}}}}}$

Rational number: Rational number are those numbers which can be written in the form of ${\sf{\dfrac{p}{q}}}$ where q ≠ 0 i.e., q is not equal to zero. Some example of rational number are ${\sf{\dfrac{23}{9} \: , \dfrac{777}{44432}}}$

Irrational number: Irrational number are the inverse of rational numbers. These numbers can't be written in the form of ${\sf{\dfrac{p}{q}}}$ The bestest example for irrational numbes are ${\sf{\pi}}$ and ${\sf{\sqrt{}}}$

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• Dear web users, you can see the step of cancelling the terms from the attachment! Thanks for understanding!