How do you write 19/25 as a percentage

How do you write 19/25 as a percentage?

The correct answer and explanation is:

Correct Answer:

To write 19/25 as a percentage, multiply the fraction by 100: 1925×100=76%\frac{19}{25} \times 100 = 76\%

300-Word Explanation:

To convert a fraction like 19/25 into a percentage, you follow a simple mathematical process that involves multiplying the fraction by 100. This is because percent literally means “per hundred”. So when you express a number as a percent, you’re expressing how many parts it would be out of 100.

Step-by-Step:

1. Start with the fraction:
   1925\frac{19}{25}
2. Multiply the fraction by 100:
   1925×100\frac{19}{25} \times 100
3. Perform the multiplication:
   First divide 100 by 25, which equals 4.
   Then multiply 4 by 19:
   19×4=7619 \times 4 = 76
4. Write the result with a percent sign:
   76%76\%

So, 19 out of 25 is equal to 76 percent.

Why This Works:

Multiplying by 100 shifts the decimal point two places to the right, effectively converting a fraction or decimal into a percentage. For example, 12=0.5\frac{1}{2} = 0.5, and 0.5×100=50%0.5 \times 100 = 50\%.

With 19/25, you’re essentially asking, “What is 19 compared to 25, if 25 were scaled to be 100?” Since 25 fits into 100 exactly 4 times, you’re scaling both the numerator and denominator by 4. That makes: 19×425×4=76100\frac{19 \times 4}{25 \times 4} = \frac{76}{100}

And 76100\frac{76}{100} is simply 76%.

This technique is used in many real-life scenarios like calculating grades, discounts, or statistics where percentages give a clearer sense of proportion and comparison.