Question

What is the exact decimal equivalent for 7/9

Answer 1

$\underline{\ \ 0.777...=0.\overline{7}}\\9|7\\\underline{\ \ 0}\\.\ \ 70\\\underline{\ \ \ 63}\\.\ \ \ \ 70\\\underline{\ \ \ \ \ 63}\\.\ \ \ \ \ 70\\\underline{\ \ \ \ \ \ 63}\\.\ \ \ \ \ \ 7\\\\\dfrac{7}{9}=0.777...=0.\overline{7}\\\\REMEMBER:\\\\\dfrac{1}{9}=0.111...=0.\overline{1}\\\\\dfrac{2}{9}=0.222...=0.\overline{2}\\\\\dfrac{3}{9}=0.333...=0.\overline{3}\\\vdots\\\\\dfrac{8}{9}=0.888...=0.\overline{8}$

Answer 2

if you divide 7 into 9 you get the decimal of the fraction. so 7 divided by 9 is  0.777777778