To convert the fraction 3/7 into a decimal, you simply divide the numerator by the denominator. In this case, you would divide 3 by 7, which can be done using long division or a calculator.
When you perform the division, you find:
- 3 divided by 7 is approximately 0.42857.
- Since 7 can’t go into 3, we add a decimal point and a zero, making it 30.
- 7 goes into 30 four times (4 x 7 = 28), leaving a remainder of 2.
- Bring down another zero, making it 20.
- 7 goes into 20 two times (2 x 7 = 14), leaving a remainder of 6.
- Bring down another zero, making it 60.
- 7 goes into 60 eight times (8 x 7 = 56), leaving a remainder of 4.
- Bring down yet another zero, making it 40.
- 7 goes into 40 five times (5 x 7 = 35), leaving a remainder of 5.
- Bring down a final zero, making it 50.
- 7 goes into 50 seven times (7 x 7 = 49), leaving a remainder of 1.
- Repeating this process shows that the digits eventually repeat, so we can express the decimal as:
The decimal representation of 3/7 is approximately 0.42857, and it is a repeating decimal, often rounded to 0.43 for simplicity.
In summary, the fraction 3/7 as a decimal is 0.42857.