3/16 as a percent
The correct answer and explanation is:
Correct Answer:
316=18.75%\frac{3}{16} = 18.75\%
Explanation (300 words):
To convert a fraction like 3/16 into a percent, you follow a simple two-step process:
- Convert the fraction to a decimal
- Multiply the decimal by 100
Step 1: Convert 3/16 to a decimal
You divide the numerator (top number) by the denominator (bottom number): 3÷16=0.18753 \div 16 = 0.1875
This means that 3/16 is equal to 0.1875 in decimal form.
Step 2: Convert the decimal to a percent
To change a decimal to a percent, multiply it by 100: 0.1875×100=18.75%0.1875 \times 100 = 18.75\%
So, 3/16 as a percent is 18.75%.
Why This Works
Percent means “per hundred”. When we say 18.75%, we’re saying “18.75 out of 100.” Fractions are just another way of expressing parts of a whole, so converting a fraction to a percent allows us to understand it on a more familiar scale—out of 100.
For example, if a class has 16 students and 3 of them passed a test, we might want to know what percentage passed. By converting 3/16 to 18.75%, we get a clearer idea of the portion that succeeded.
Additional Note
Some fractions convert to whole numbers (like 1/2 = 50%), but others like 3/16 result in decimals. Still, the method stays the same: divide, then multiply by 100.
So whenever you’re asked to turn a fraction into a percent, just remember this two-step process—divide and multiply by 100—and you’ll get the answer every time.