16/35 as a percentage
Understand the Problem
The question is asking to convert the fraction 16/35 into a percentage, which involves dividing 16 by 35 and then multiplying by 100.
Answer
$45.71\%$
Answer for screen readers
The fraction $\frac{16}{35}$ expressed as a percentage is approximately $45.71%$.
Steps to Solve
- Divide the numerator by the denominator
To convert the fraction $\frac{16}{35}$ into a percentage, start by dividing 16 by 35.
$$ \frac{16}{35} = 0.457142857 $$
- Multiply by 100 to find the percentage
Next, take the decimal result from the division and multiply it by 100 to convert it into a percentage.
$$ 0.457142857 \times 100 = 45.7142857 $$
- Round to the desired precision
If necessary, round the result to the nearest whole number or to a specific decimal place. For example, rounding to two decimal places gives us:
$$ 45.71% $$
The fraction $\frac{16}{35}$ expressed as a percentage is approximately $45.71%$.
More Information
When converting a fraction to a percentage, it can be useful in various applications such as statistics, finance, and everyday calculations. Percentages are often used to represent a part of a whole in a clear and understandable way.
Tips
- A common mistake is forgetting to multiply by 100 after dividing, which leads to a misinterpretation of the result as just a decimal.
- Another mistake can be in rounding improperly, whether rounding too soon or to the wrong place.
