write 0.76 repeated indefinitely as a fraction
Let's assume the repeated decimal as a variable, x. To convert the repeated decimal into a fraction, we will multiply both sides of the equation by 100 (to move the decimal point two places to the right):
100x = 76.767676...
Now, we can subtract x from both sides:
100x - x = 76.767676... - 0.767676...
This simplifies to:
99x = 76
Dividing both sides of the equation by 99, we get:
x = 76/99
Therefore, the fraction form of 0.76 repeated indefinitely is 76/99.