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

  1. Set up the division

Start by setting up division of 7 by 6.

  1. Perform the division

Divide 7 by 6. The quotient is 1, and the remainder is 1.

$$ 7 \div 6 = 1 , \text{{remainder}} , 1 $$

  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.

$$ 1.0 \div 6 $$

  1. Perform further division

Divide 10 by 6. The quotient is 1, and the remainder is 4.

$$ 10 \div 6 = 1 , \text{{remainder}} , 4 $$

  1. Add another zero

Since we still have a remainder, add another zero and treat the dividend as 40.

$$ 4.0 \div 6 $$

  1. 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.

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