Write 13/40 as a decimal.
Understand the Problem
The question is asking to convert the fraction 13/40 into its decimal form. To solve this, one would perform the division of 13 by 40.
Answer
The decimal form of $\frac{13}{40}$ is $0.325$.
Answer for screen readers
The decimal form of $\frac{13}{40}$ is $0.325$.
Steps to Solve
- Perform the Division To convert the fraction $\frac{13}{40}$ into a decimal, we divide the numerator by the denominator:
$$ 13 \div 40 $$
- Set Up the Division When performing the division, we can rewrite it as:
$$ 13.000 \div 40 $$
This allows us to include decimal places as needed.
- Carry Out the Division Divide 40 into 130 (the first three digits of 13000):
- 40 goes into 130 three times (since $3 \cdot 40 = 120$).
- Write down 3 and subtract 120 from 130, which gives us 10.
- Continue Division Bring down the next 0: Now we have 100.
- 40 goes into 100 two times (since $2 \cdot 40 = 80$).
- Write down 2, subtract 80 to get 20.
- Finalizing the Division Bring down the next 0: Now we have 200.
- 40 goes into 200 five times (since $5 \cdot 40 = 200$).
- Subtracting gives zero, completing our division.
The final result of the division is:
$$ 0.325 $$
The decimal form of $\frac{13}{40}$ is $0.325$.
More Information
The process of converting a fraction to a decimal involves simple long division. The decimals can continue infinitely if there's a repeating cycle, but in this case, the division terminates.
Tips
- Forgetting to add decimal points when extending the division.
- Not keeping the place value accurate when bringing down zeros.
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