Question

Write the repeating decimal 3.15555555 as a fraction?

Answer 1

put
\[x=3.15555...\]
\[10x = 31.5555...\]
\[10x-x=28.4\]
\[9x=28.4\]
\[x=\frac{28.4}{9}=\frac{284}{90}\]

Answer 2

you can check it is right with a calculator