# 4/32 to decimal

#### Understand the Problem

The question is asking for the decimal representation of the fraction 4/32. To solve it, we will divide the numerator (4) by the denominator (32).

The decimal representation of the fraction $\frac{4}{32}$ is $0.125$.

The decimal representation of the fraction $\frac{4}{32}$ is $0.125$.

#### Steps to Solve

1. Set Up the Division We are asked to divide 4 by 32. This can be set up as a simple division problem:

$$\frac{4}{32}$$

1. Perform the Division Next, we perform the division. Since 4 is less than 32, we can rewrite 4 as 4.000 or 4.00 to help with the division.

So the division process looks like this:

$$4.00 \div 32$$

1. Calculate the Decimal Now we perform the long division. 32 goes into 40 once (1), so we write 1 and subtract:

$$40 - 32 = 8$$

1. Bring Down the Next Digit Next, we bring down the next digit (the next zero from 4.00) to make it 80.

2. Continue the Division Now we see how many times 32 fits into 80. It fits 2 times:

$$2 \times 32 = 64$$

Subtract again:

$$80 - 64 = 16$$

1. Bring Down Another Zero Bring down another zero (from 4.00) to make it 160.

2. Final Division Steps 32 goes into 160 five times:

$$5 \times 32 = 160$$

Subtract again:

$$160 - 160 = 0$$

Thus, there are no more digits to bring down, and the division is complete.

Putting it all together, the decimal representation is:

$$0.125$$

The decimal representation of the fraction $\frac{4}{32}$ is $0.125$.

The decimal representation of a fraction helps in understanding its value in a different form. In this case, $0.125$ can also be expressed as $12.5%$ if converted to a percentage.