# 29/6 as a decimal

#### Understand the Problem

The question is asking for the decimal equivalent of the fraction 29/6. To solve this, we will perform the division of 29 by 6.

The decimal equivalent of the fraction $\frac{29}{6}$ is approximately $4.83$.

The decimal equivalent of the fraction $\frac{29}{6}$ is approximately $4.8333\ldots$ or $4.83$ (rounded to two decimal places).

#### Steps to Solve

1. Set Up the Division We need to divide 29 by 6. This can be written as:

$$29 \div 6$$

1. Perform the Division Divide 29 by 6. Since 6 goes into 29 four times (because $6 \times 4 = 24$), we can write:

$$29 - 24 = 5$$

So, we have 4 as the whole number part.

1. Continue with the Remainder Now, we have a remainder of 5. We express this as a decimal by adding a decimal point and a zero to the remainder. So we are really dividing 50 by 6:

$$50 \div 6$$

1. Calculate the Decimal Value 6 goes into 50 eight times (since $6 \times 8 = 48$). Subtracting:

$$50 - 48 = 2$$

So far, we have 4.8 (with a remainder of 2).

1. Complete the Decimal Conversion Bring down another zero to the remainder, making it 20. Divide 20 by 6. 6 goes into 20 three times (since $6 \times 3 = 18$). Then:

$$20 - 18 = 2$$

So now we have 4.83 with a remainder of 2.

1. Repeat for More Precision Repeating the process by bringing down another zero gives us 20 again. Continuing this yields 4.833... which indicates that the decimal will repeat.

The decimal equivalent of the fraction $\frac{29}{6}$ is approximately $4.8333\ldots$ or $4.83$ (rounded to two decimal places).

The fraction $\frac{29}{6}$ is an example of a rational number which can be expressed as a repeating decimal. A repeating decimal is a decimal fraction that eventually repeats a sequence of digits.