Question

Find the decimal that is equivalent to:

Answer 1

`\large\boxed{(1)/(15)=0.0666...=0.0\overline{6}}`

Explanation:

`\bold{METHOD\ 1:}\\\\\text{Use the calculator:}\\\\(1)/(15)=1:15=0.06666...=0.0\overline{6}\\\\\bold{METHOD\ 2:}\\\\\text{Use the long division:}\\\\\underline{\ \ \ \ 0.0666...}\\15|1\\\underline{\ \ \ \ 0}\\.\ \ \ \ 10\\\underline{\ \ \ \ \ \ 0}\\.\ \ \ \ \ 100\\\underline{\ \ \ \ \ \ \ 90}\\.\qquad100\\\underline{\ \ \ \ \ \ \ \ 90}\\.\qquad\ 100\\\underline{\qquad\ \ \ 90}\\.\qquad\ \ 10`