What is 5/16 in decimal form?
Understand the Problem
The question is asking for the decimal equivalent of the fraction 5/16. To solve this, we will divide the numerator (5) by the denominator (16) to get the decimal result.
Answer
0.3125
Answer for screen readers
The final answer is 0.3125
Steps to Solve
- Set up the division problem
To convert the fraction $\frac{5}{16}$ to a decimal, you need to divide 5 by 16.
- Perform long division
Since 5 is less than 16, the division will include 0 as the whole number part and continue with decimal places. Set up the division as $5.0000 \div 16$.
- Calculate the division
Start the long division process:
[ \begin{array}{r|l} 16 & 5.0000 \ \hline & 0.3125 \end{array} ]
- 16 goes into 50 three times (3 * 16 = 48)
- Subtract 48 from 50, leaving 2. Bring down the next 0 to get 20.
- 16 goes into 20 once (1 * 16 = 16)
- Subtract 16 from 20, leaving 4. Bring down the next 0 to get 40.
- 16 goes into 40 twice (2 * 16 = 32)
- Subtract 32 from 40, leaving 8. Bring down the next 0 to get 80.
- 16 goes into 80 five times (5 * 16 = 80)
- Subtract 80 from 80, leaving 0.
The division result is 0.3125.
The final answer is 0.3125
More Information
Fractions often represent ratios or parts of a whole, and converting them to decimal form can be useful for precise calculations in various applications like measurements, probabilities, and more.
Tips
A common mistake is forgetting to place the decimal point in the correct position when performing long division. Always ensure you correctly align decimal places in both the dividend and the quotient.
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