Question

Express 0.237 -bar on 37- as the quotient of 2 integers having no common factors

Answer 1

Step-by-step explanation:

Given  

Express 0.237 -bar on 37- as the quotient of 2 integers having no common factors

• Let x = 0.237 bar on 37
• So x = 0.2373737……----------1
• Multiply both sides by 10 we get
• 10 x = 2.37373737----------------2
• Multiply eqn 2 by 100, so we get
• 1000 x = 237.373737----------------3
• Subtracting eqn 3 – eqn 2 we get
• 990 x = 235
• Therefore x = 235/990

Or x = 47 / 198.