The decimal 0.123 recurring is equal to the fraction 41/333.
To convert the decimal 0.1 recurring 2 3 recurring to a fraction, we can follow the steps for converting a repeating decimal to a fraction.
Step 1: Write out the equation where X is equal to the given number.
X = 0.1 23 23 23...
Step 2: Multiply both sides of the equation by a power of 10 that moves the decimal point to the right of the repeating digits.
1000X = 123.2323...
Step 3: Subtract the equation in step 1 from the equation in step 2 to eliminate the repeating digits.
999X = 123
Step 4: Solve for X by dividing both sides of the equation by 999.
X = 123/999
To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 3.
X = 41/333
Therefore, the decimal 0.1 recurring 2 3 recurring is equal to the fraction 41/333.
Complete question:
The decimal 0.123 recurring as a a fraction is?