Question

Section B
11. Represent 23.3333.... in
0f
р/q
form where p and q are integers and q ≠ 0​

Answer 1

Answer:

70/3

Step-by-step explanation:

let x=23.33333...-----equation 1

as periodicity=1 multiply equation 1 with 10^1

10x=233.333...--------equation 2

subtract equation 2-equation 1

10x=233.3333...

(-) x= 23.3333...

------------------------

9x=210

-------------------------

x=210/9

x= 70/3 (a rational number)

Answer 2

Answer:

$\huge{ \purple{ \bold{ \mathcal{ \underline{Solution:-}}}}}$

${ \pink{ \bold{ \underline{ \underline{Given:-}}}}}$

Represent 23.3333.... in 0f р/q form where p and q are integers and q ≠ 0[/tex]

$</p><p>{ \blue{ \bold{ \underline{ \underline{Find:-}}}}}$

23.333 in the form of p/q

${ \pink{ \bold{ \underline{ \underline{Solve:-}}}}}$

$<strong>Let x = 23.3333......... (1)</strong>$

$<strong><em>10x = 233.3333........(2)</em></strong>$

$<strong>Subtract (1) from (2)</strong>$

$<strong><em>10x - x = 233.3333........ - 23.3333.......</em></strong><strong><em>.</em></strong>$

$<strong>9x = 210</strong>$

$<strong><em>x = \frac{210}{9}</em></strong>$

$<strong>x = \frac{70}{3}</strong>$

$\red{\mid{\fbox{\tt{Hope it's helpful uh ♡♡ }}\mid}}$