# 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.

1.1666...

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.

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

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