0.90 Recurring as a Fraction
What is 0.90 Recurring?
0.90 recurring, also known as 0.90..., is a non-terminating decimal that repeats in a cycle. In other words, it is a decimal that goes on indefinitely in a repeating pattern. This type of decimal is also known as a recurring decimal or a repeating decimal.
Converting 0.90 Recurring to a Fraction
To convert 0.90 recurring to a fraction, we can use the following steps:
Step 1: Let x = 0.90...
Let x = 0.90...
Step 2: Multiply x by 10
Multiply both sides of the equation by 10 to get:
10x = 9.00...
Step 3: Subtract x from 10x
Subtract x from both sides of the equation to get:
10x - x = 9.00... - 0.90... 9x = 8.10
Step 4: Divide both sides by 9
Divide both sides of the equation by 9 to get:
x = 8.10/9 x = 810/900 x = 9/10
So, 0.90 recurring is equal to the fraction 9/10.
Conclusion
In conclusion, 0.90 recurring can be converted to a fraction, which is 9/10. This is a simple and easy-to-remember fraction that is equivalent to the non-terminating decimal 0.90...
