Express the repeating decimal 0.777… as a fraction in simplest form.
Note
Let x = 0.777... then 10x = 7.777... subtracting gives 9x = 7 so x = 7/9; 77/99 simplifies to 7/9 but 7/9 is the simplest form.
Express the repeating decimal 0.777… as a fraction in simplest form.
Let x = 0.777... then 10x = 7.777... subtracting gives 9x = 7 so x = 7/9; 77/99 simplifies to 7/9 but 7/9 is the simplest form.