Understanding 5/6 as a Percent
In mathematics, fractions and percentages are used to represent proportions or ratios. In this article, we will explore how to convert the fraction 5/6 into a percentage.
What is 5/6?
The fraction 5/6 represents five equal parts out of six. It can be visualized as a pie chart with six slices, where five slices are shaded to represent the fraction.
Converting 5/6 to a Decimal
To convert the fraction 5/6 to a decimal, we can divide the numerator (5) by the denominator (6):
5 ÷ 6 = 0.83
So, the decimal equivalent of 5/6 is 0.83.
Converting 0.83 to a Percent
To convert the decimal 0.83 to a percentage, we can multiply it by 100:
0.83 × 100 = 83%
Therefore, the fraction 5/6 is equivalent to 83%.
Real-World Applications
Percentages are commonly used in real-world applications, such as:
- Discounts: A store offers a 20% discount on certain items. If the original price is $100, the discount would be $20, and the new price would be $80.
- Grades: A student scores 83% on an exam, indicating that they have mastered 83% of the material.
- Finance: An investment returns 5% interest per annum. If the initial investment is $100, the interest earned would be $5, making the total balance $105.
Conclusion
In conclusion, the fraction 5/6 is equivalent to 83%. Understanding how to convert fractions to percentages is an essential skill in mathematics, with applications in various fields.
