.77777 as a Fraction
The decimal number .77777 can be expressed as a fraction. But how?
Converting .77777 to a Fraction
To convert .77777 to a fraction, we need to find the equivalent ratio of integers. One way to do this is by using the following formula:
x = 0.77777 (where x is the fraction we're trying to find)
Multiply Both Sides by 100,000
To get rid of the decimal point, we can multiply both sides of the equation by 100,000.
100,000x = 77,777
Divide Both Sides by 7
Next, we can divide both sides of the equation by 7 to simplify the fraction.
14,285.71x = 11,111
Simplify the Fraction
Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
x = 11,111 / 14,285.71
x = 7/9
Therefore, the fraction equivalent of .77777 is 7/9.
Conclusion
In conclusion, the decimal number .77777 can be expressed as a fraction, specifically 7/9. By following the steps outlined above, we can convert any decimal number to a fraction.
