Question

7/8 turned into a decimal. Show all the work.

Answer 1

The most obvious answer is to write this into a calculator and read the result, but if you're asking this, I'm assuming you're not allowed to.

This fraction can be easily calculated by hand in two ways: either you remember that

$\dfrac{7}{8} = \dfrac{7}{2^3}$

Which means that dividing by 8 is the same ad dividing by two three times:

$7\div 2 = 3.5,\quad 3.5 \div 2 = 1.75,\quad 1.75 \div 2 = 0.875$

Or you can think that 7/8 is 1/8 away from one. Just like before, you can compute 1/8 as

$1\div 2 = 0.5,\quad 0.5 \div 2 = 0.25,\quad 0.25 \div 2 = 0.125$

And so 7/8 is

$\dfrac{7}{8} = 1-\dfrac{1}{8} = 1-0.125=0.875$

Answer 2

The answer is....0.875