Question

Find the decimal that is equivalent to:

Answer 1

Answer:

$\large\boxed{\dfrac{1}{15}=0.0666...=0.0\overline{6}}$

Step-by-step explanation:

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