Express the repeating decimal as a ratio of two integers.

2.6231313131....

2 answers

2.62 + .0031 + .000031 + .00000031 ....

= 2.62 + .0031/(1`-.01)

= 2.62 + .0031/.99

= 262/100 + 31/9900

= 262*99/9900 +31/9900

=(25938 +31)/9900

= 25969/9900

=2,6231313131........

= 262048/99900
Ignore that last line, early error