What is 28/35 as a percentage? truly.
The Correct Answer and Explanation is:
28/35 as a Percentage
To convert 28/35 into a percentage: 2835×100=80%\frac{28}{35} \times 100 = 80\%
So, 28/35 is 80%.
Detailed Explanation
To understand how 28/35 equals 80%, let’s walk through the process step by step and explore the meaning behind the math.
1. Understanding Fractions and Percentages
A fraction like 28/35 represents a part of a whole. The numerator (top number) is 28, and the denominator (bottom number) is 35. So, 28/35 means “28 parts out of 35 total parts.”
A percentage is a way of expressing a number as a portion out of 100. The word “percent” literally means “per hundred.” So, when we convert a fraction to a percentage, we’re simply expressing how much of the whole that fraction represents out of 100.
2. The Calculation
To convert a fraction to a percentage, you multiply the fraction by 100: (2835)×100\left(\frac{28}{35}\right) \times 100
Start by dividing 28 by 35: 28÷35=0.828 ÷ 35 = 0.8
Now multiply by 100: 0.8×100=800.8 × 100 = 80
Thus, 28/35 = 80%
3. Why It Makes Sense
The fraction 28/35 simplifies mathematically. If you divide both the numerator and denominator by 7, you get: 28÷735÷7=45\frac{28 ÷ 7}{35 ÷ 7} = \frac{4}{5}
And 4/5 is a well-known fraction that equals 80%: (45)×100=80%\left(\frac{4}{5}\right) \times 100 = 80\%
4. Real-Life Application
This kind of conversion is useful in many real-life situations: exams, discounts, statistics, or performance reviews. For example, if a student got 28 questions correct out of 35 on a test, they scored 80%.
Final Answer: 28/35 = 80%
