How do you write 0.76 as a fraction in lowest terms?

To express 0.76 as a fraction in its lowest terms, we can follow these steps:

Step 1: Let x be the fractional representation of 0.76. Therefore, we have:
x = 0.76

Step 2: Multiply both sides of the equation by 100 to remove the decimal point:
100x = 76

Step 3: Simplify the equation by dividing both sides by the greatest common divisor (GCD) of 100 and 76, which is 4:
100x/4 = 76/4
25x = 19

Step 4: Divide both sides by 25 to isolate x:
25x/25 = 19/25
x = 19/25

So, the fractional representation of 0.76 in its lowest terms is 19/25.