Convert each of the following common fractions into a percentage. 37/40
The correct answer and explanation is:
To convert the fraction 37/40 into a percentage, follow these steps:
✅ Correct Answer:
3740=92.5%\frac{37}{40} = 92.5\%
📘 Step-by-Step Explanation:
- Understand what a percentage means
A percentage is a way of expressing a number as a fraction of 100. For example, saying “75%” means 75 out of 100, or 75100\frac{75}{100}. - Convert the fraction to a decimal
Divide the numerator (top number) by the denominator (bottom number): 3740=0.925\frac{37}{40} = 0.925 - Convert the decimal to a percentage
Multiply the decimal by 100: 0.925×100=92.5%0.925 \times 100 = 92.5\%
📚 Why This Works:
Fractions and percentages are both ways to describe parts of a whole. Converting a fraction like 37/40 into a percentage tells you how many parts out of 100 it represents.
To do this, you can:
- Divide the fraction (get the decimal)
- Multiply by 100 to shift the decimal point two places to the right, turning it into a percentage.
This method works for any fraction, whether it’s proper (like 3/4), improper (like 7/4), or mixed (like 1¾).
In this case:
- 37 is slightly less than 40, so the result should be slightly less than 100%.
- Since 37 is 3 less than 40, it represents 92.5% of 40.
🔍 Real-Life Example:
If you answered 37 questions correctly out of 40 on a test, your score would be 92.5%—a strong performance!
✅ Final Answer:
92.5%\boxed{92.5\%}