What is 26/31 as a percentage?
Understand the Problem
The question is asking us to convert the fraction 26/31 into a percentage. To do this, we will multiply the fraction by 100 to find its equivalent percentage value.
Answer
Approximately 83.87%
Answer for screen readers
The percentage equivalent of the fraction ( \frac{26}{31} ) is approximately 83.87%.
Steps to Solve
- Multiply the fraction by 100
To convert the fraction ( \frac{26}{31} ) into a percentage, we multiply it by 100. This can be expressed as: $$ \frac{26}{31} \times 100 $$
- Calculate the multiplication
Now, perform the multiplication: $$ \frac{26 \times 100}{31} $$ This simplifies to: $$ \frac{2600}{31} $$
- Perform the division
Now, divide 2600 by 31 to find the percentage value: $$ 2600 \div 31 \approx 83.87 $$
The percentage equivalent of the fraction ( \frac{26}{31} ) is approximately 83.87%.
More Information
This percentage indicates that the fraction ( \frac{26}{31} ) represents about 83.87% of a whole. This is useful when comparing parts to a total.
Tips
- Forgetting to multiply the fraction by 100.
- Not properly carry out the division, leading to incorrect decimal results. To avoid this, double-check your calculations.
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