7/6 as a decimal
Understand the Problem
The question is asking for the decimal representation of the fraction 7/6. To find this, we will perform division of 7 by 6.
Answer
1.1666...
Answer for screen readers
The final answer is 1.1666... or 1.16 with rounding to two decimal places
Steps to Solve
- Set up the division
Start by setting up division of 7 by 6.
- Perform the division
Divide 7 by 6. The quotient is 1, and the remainder is 1.
$$ 7 \div 6 = 1 , \text{{remainder}} , 1 $$
- Add a decimal point and zero
Since there is a remainder, add a decimal point and zero to continue the division. Treat the dividend as 10.
$$ 1.0 \div 6 $$
- Perform further division
Divide 10 by 6. The quotient is 1, and the remainder is 4.
$$ 10 \div 6 = 1 , \text{{remainder}} , 4 $$
- Add another zero
Since we still have a remainder, add another zero and treat the dividend as 40.
$$ 4.0 \div 6 $$
- Perform further division again
Divide 40 by 6. The quotient is 6, and the remainder is 4.
$$ 40 \div 6 = 6 , \text{{remainder}} , 4 $$
Repeat steps 5 and 6 as needed.
The final answer is 1.1666... or 1.16 with rounding to two decimal places
More Information
The decimal representation of 7/6 is a repeating decimal. It's often written as 1.1666... or 1.16 when rounded to two decimal places.
Tips
A common mistake is to forget to add zeros after the decimal point to continue the division. Remember to keep dividing until you observe a repeating pattern or achieve the desired decimal places.
