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).
Answer
The decimal representation of the fraction $\frac{4}{32}$ is $0.125$.
Answer for screen readers
The decimal representation of the fraction $\frac{4}{32}$ is $0.125$.
Steps to Solve
 Set Up the Division We are asked to divide 4 by 32. This can be set up as a simple division problem:
$$ \frac{4}{32} $$
 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:
$$ 4.00 \div 32 $$
 Calculate the Decimal Now we perform the long division. 32 goes into 40 once (1), so we write 1 and subtract:
$$ 40  32 = 8 $$

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

Continue the Division Now we see how many times 32 fits into 80. It fits 2 times:
$$ 2 \times 32 = 64 $$
Subtract again:
$$ 80  64 = 16 $$

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

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 $0.125$.
More Information
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.
Tips
 Forgetting to Add Zeros: When dividing and the numerator is smaller than the denominator, remember to add decimal places (zeros) to help with the division process.
 Misplacing Decimal: It is important to keep track of the decimal point in the result. This affects the final answer significantly.