Question

Simplify : express 15.71212121212.........in p/q form where p ,q are integers and q is not 0

Answer 1

Answer:

$your \: answer \: is \: \frac{283}{18}$

Step-by-step explanation:

$let \: x = 15.71212121212...... \\ x = 15.712121.......... \\ 10x = 157.121212...... - - - (i) \\ 100x = 1572.12121212... - - (ii) \\ subtracting \: eq(i) \: from \: eq(ii) \\ =100x - 10x = 1572.12.. - 157.12.. \\ = 90x=1415 \\ =x = \frac{1415}{90} \\ = x= \frac{283}{18} \\ 15.712121212... \: in \: \frac{p}{q} form \: is \: \frac{283}{18} \\ i \: hope \: it \: will \: help \: you \: \\ please \: mark \: \: the \: answer \: as \: brainliest \\ happy \: independence \: day....................$