x = 0.045 (45 recurring). Prove algebraically that x can be written as 1/22

x=0.045 (45 recurring)

10x = 0.45 (45 recurring)

100x = 4.54 (54 recurring)

1000x = 45.45 (45 recurring)

To get rid of the decimals:

1000x-10x = 45.45 - 0.45

990x = 45

x = 45/990

x = 9/198 (simplify by dividing by 5)

x = 1/22 (simplify by dividing 9)

JT
Answered by John T. Maths tutor

56450 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How to find an original price from a reduced percentage.


How do you work out the old price of an item having been given the new price after a specified percentage change?


A line passes through coordinates (-2,4) and (8,9). Does the point with coordinates (32,55) fall on this line?


A plane travels at a speed of 213 miles per hour. Work out an estimate for the number of seconds the plane takes to travel 1 mile.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences