What is 2 divided by 3? Please show all steps and give the answer in both fraction and decimal form.

To divide 2 by 3, we can follow these steps:

1. Set up the division: We write this as 2 ÷ 3.
2. Identify how many times 3 goes into 2: Since 3 is larger than 2, it goes 0 times. This means we have to work with a fraction.
3. Convert to a fraction: We can express the division as a fraction: 2/3.
4. Convert the fraction to decimal: To find the decimal equivalent, divide 2 by 3 using long division.
5. Perform long division:
   • 3 goes into 2, 0 times. Write 0.
   • Add a decimal point and a 0 (making it 20), now ask how many times 3 fits into 20. It goes 6 times (3 x 6 = 18).
   • Subtract 18 from 20 to get 2, bring down another 0 to make it 20 again.
   • Repeat: 3 goes into 20 again 6 times, subtract 18, and you are left with 2, and again you bring down a 0 to make 20.

   You will notice that this process continues infinitely giving you the decimal 0.666…

So, the result of 2 divided by 3 is:

• Fraction form: 2/3
• Decimal form: 0.666… (which is often rounded to 0.67 for simplicity)