Question

Express the following in the form of p/q:-

1. 2.373737....
2. 15.71212121....

Answer 1

Hiii!!!

Here's Ur answer...

1. 2.37373737...

Let x be = 2.37373737... ---------(1)

Multiplying both sides by 100.

100 × x = 100 × 2.37373737...

100x = 237.37373737... ---------(2)

Subract equation (1) from equation (2)

100x - x = 237.37373737... - 2.37373737...

99x = 235

x = 235/99

2. 15.712121212...

Let x be = 15.712121212... ---------(1)

Multiplying both sides by 100.

100 × x = 100 × 15.712121212...

100x = 1571.2121212... --------(2)

Subract equation (1) from equation (2)

100x - x = 1571.2121212... - 12.7121212...

99x = 1555.5

x = 1555.5/99

x = 518.5/33

Hope this helps..!!

Answer 2

2.373737
Let x=2.373737 ----1
Multiply both sides by1000000
1000000x=2373737.373737---2
Sub 1 from 2
1000000x-x=2373737....-2.373737
999999x=2373735
X=2373735/999999