Ever found yourself staring at a fraction like 14/16 and wondering what it looks like as a decimal? It's a common question, and thankfully, the answer is pretty straightforward. Think of it like this: a fraction is essentially a division problem waiting to happen. The top number, the numerator (14 in this case), is what you're dividing, and the bottom number, the denominator (16), is what you're dividing by.
So, to convert 14/16 into a decimal, you simply perform the division: 14 divided by 16. When you punch that into a calculator, or do the long division, you get 0.875.
What's neat about 0.875 is that it's what we call a 'terminating' decimal. This means it comes to a neat, tidy end. It doesn't go on forever with a repeating pattern, like 1/3 (which is 0.333...). This tidiness is a characteristic of fractions where the denominator, after being simplified, only has prime factors of 2 and 5. In the case of 14/16, if we simplify it first, we get 7/8. And 8 has prime factors of only 2 (2x2x2), so we know it's going to be a terminating decimal.
This kind of conversion pops up more often than you might think, especially in practical applications. For instance, in engineering or carpentry, you might see measurements expressed as fractions of an inch. Converting these to decimals makes them easier to work with on digital tools or for precise calculations. The reference material even shows a handy chart that links fractions of an inch to their decimal equivalents and even millimeter measurements, which is incredibly useful for anyone working with measurements. For example, 0.875 inches is directly equivalent to 7/8 of an inch, and if you needed to convert that to millimeters, it's about 22.225 mm.
So, the next time you see 14/16, you can confidently say it's 0.875 – a simple division that unlocks a clear, terminating decimal.
