Is 16/200 equal to 8%?
Understand the Problem
The question is asking whether the fraction 16/200 is equivalent to 8%. To solve this, we will convert the fraction to a percentage and check if it equals 8%.
Answer
The fraction \( \frac{16}{200} \) is equivalent to \( 8\% \).
Answer for screen readers
The fraction ( \frac{16}{200} ) is equivalent to ( 8% ).
Steps to Solve
- Convert the fraction to a decimal
To convert the fraction ( \frac{16}{200} ) to a decimal, divide the numerator by the denominator:
$$ \frac{16}{200} = 0.08 $$
- Convert the decimal to a percentage
Next, to convert the decimal ( 0.08 ) to a percentage, multiply it by 100:
$$ 0.08 \times 100 = 8% $$
- Compare to the given percentage
Now compare the calculated percentage with the given percentage:
- Calculated percentage: ( 8% )
- Given percentage: ( 8% )
Both percentages are equal.
The fraction ( \frac{16}{200} ) is equivalent to ( 8% ).
More Information
The process of converting a fraction to a percentage involves basic arithmetic operations. Recognizing that both forms represent the same value can help in various mathematical contexts.
Tips
- A common mistake is to misdivide the fraction, leading to an incorrect decimal, which may then produce an incorrect percentage. To avoid this, ensure careful calculations when dividing.
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