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:
$$ 40 - 32 = 8 $$
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Bring Down the Next Digit Next, we bring down the next digit (the next zero from 4.00) to make it 80.
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Continue the Division Now we see how many times 32 fits into 80. It fits 2 times:
$$ 2 \times 32 = 64 $$
Subtract again:
$$ 80 - 64 = 16 $$
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Bring Down Another Zero Bring down another zero (from 4.00) to make it 160.
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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.
