Math, asked by Thiruharan, 1 month ago

Show that 1.3535....can be expressed in the form of p/q, where p and q are Integers and q is not equal to 0

Answers

Answered by yashaswininamani4
5

Answer:

hope this helps you

Step-by-step explanation:

please follow

Attachments:
Answered by Anonymous
16

Answer:

 \large \green{ \rm \frac{p}{q} =  \frac{ {134}}{ {99}} }

Step-by-step explanation:

 \rm Let   \: \frac{p}{q}  = 1.3535...  \:  \: -  -  - (1)

On multiplying both sides by 100,

 \rm 100 \frac{p}{q}  = 135.3535... \:  \:  -  -  - (2)

Subtracting Equation 1 from Equation 2,

 \rm 100 \frac{p}{q}  -  \frac{p}{q}  = (135.3535... )- (1 .3535..)

 \rm 99 \frac{p}{q}  = 134

 \rm \frac{p}{q} =  \frac{ {134}}{ {99}}

I hope it is helpful

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