87.1k views
4 votes
0.123 repeating as a simplified fraction

User Ignasi
by
5.2k points

2 Answers

1 vote

Answer:

123/1000

Explanation:

User Syeful Islam
by
4.6k points
4 votes

Answer:

122/990

Explanation:

x = 0.123 (23 is repeating)

*100 *100 (Multiply both sides by 100)

100x = 12.3232323

x = 0.1232323 (Now subtract both equations)

-----------------------------

99x 12.2

99 99

Now Multiply the fraction by 10 to get rid of the decimal

12.2 * 10 = 122

99 * 10 = 990

Final Answer:

112

990

I hope this helps :D and have a great rest of your day, evening or afternoon!

0.123 repeating as a simplified fraction-example-1
User Paul Sandoz
by
5.2k points