0.72 Repeating as a Fraction
What is 0.72 Repeating?
0.72 repeating is a decimal number that has a repeating pattern of 72. It can be written as 0.727272... where the digits 72 repeat indefinitely.
Converting 0.72 Repeating to a Fraction
To convert 0.72 repeating to a fraction, we can use the following steps:
Step 1: Let x = 0.727272...
Let x be equal to 0.727272..., the repeating decimal.
Step 2: Multiply x by 100
Multiply both sides of the equation by 100 to get:
100x = 72.727272...
Step 3: Subtract x from both sides
Subtract x from both sides of the equation to get:
99x = 72
Step 4: Solve for x
Divide both sides of the equation by 99 to get:
x = 72/99
Step 5: Simplify the fraction
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 9:
x = 8/11
Therefore, 0.72 repeating as a fraction is equal to 8/11.
Conclusion
In conclusion, 0.72 repeating can be converted to a fraction by using the steps outlined above. The resulting fraction is 8/11, which is a simplified fraction.
