Express a decimal number ( ie 0.768) - process description - as a rational number (96/125)?

The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as

for any , so the above is the same as

Similarly, we can write

Now it's a question of reducing the fraction as much as possible. We have so

step-by-step explanation:

$9.41

step-by-step explanation: