Question

Express each of the following as vulgar fraction: 0.263(bar on 63)
please answer it fast​

Answer 1

Given :  0.263(bar on 63)

To Find : Express as fraction :

Solution:

vulgar fraction:  a fraction expressed by numerator and denominator, not decimally.

0.263(bar on 63)

N = $0.2\overline{63}$

10N= $2.\overline{63}$

1000N= $263.\overline{63}$

=> 990N = 261

=> N = 261/990

=> N = 87/330

=> N = 29/110

0.263(bar on 63)  =  $0.2\overline{63}$   =  29/110

Learn More:

Express 1.27 bar on 27 in the form of p/q, where p and q are integers ...

brainly.in/question/2457246

write the given rational number in the form of p/q with steps43 ...

brainly.in/question/1331584

Express 1.2 333333 in p/q form where p and q are co-primes ...

brainly.in/question/13644722

Answer 2

Step-by-step explanation:

Given:

$0.2 \overline{63}$

To find: Express the given number as vulgar fraction.i.e. p/q form

Solution:

Step 1:Assume number as x

$x = 0.2 \overline{63} \\ \\ or \\ \\ x = 0.2636363...$

Step 2: Multiply both sides with 10

$10x = 2.636363... \: \: \: \: \: eq1$

Step 3: Multiply both sides with 100 of eq1

$1000x = 263.636363... \: \: \: \: \: \: eq2$

Step 4: Subtract eq1 from eq2

$1000x - 10x = 263.6363... - 2.6363... \\ \\ 990x = 261 \\ \\ x = \frac{261}{990}$

Step 5: Cancel common factor

$x = \frac{87}{330} \\ \\ or \\ \\ x = \frac{29}{110}$

This way given decimal expansion can be expressed in p/q form.

Final answer:

$\bold{0.2 \overline{63} = \frac{29}{110}}$

Hope it helps you.

To learn more on brainly:

Express in the form of p/q

12.53bar +0.23bar

https://brainly.in/question/40866758