.777 as a Fraction in Simplest Form
Introduction
Repeating decimals, such as .777, can be converted into fractions. In this article, we will explore how to convert .777 into a fraction in its simplest form.
Converting .777 into a Fraction
To convert .777 into a fraction, we can use the following steps:
- Let x = .777
- Multiply both sides by 1000: This will eliminate the decimal places.
- Simplify the equation: 1000x = 777
- Divide both sides by the greatest common divisor (GCD): The GCD of 1000 and 777 is 37.
Simplifying the Fraction
After dividing both sides by 37, we get:
x = 777/1000
x = 21/28
x = 3/4
Therefore, .777 as a fraction in simplest form is 3/4.
Conclusion
In conclusion, .777 can be converted into a fraction in simplest form by following the steps mentioned above. The simplest form of .777 as a fraction is 3/4.
